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Finding the Third Proportional to 241,566,882,924.10 and 525,545,700,179.34

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Solution

The third proportional to 241,566,882,924.10 and 525,545,700,179.34 is: 1,143,361,538,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,566,882,924.10 : 525,545,700,179.34 = 525,545,700,179.34 : x
  2. Step 2: Convert to fraction form
    241,566,882,924.10/525,545,700,179.34 = 525,545,700,179.34/x
  3. Step 3: Cross multiply
    241,566,882,924.10x = 525,545,700,179.34 × 525,545,700,179.34
  4. Step 4: Simplify right side
    241,566,882,924.10x = 276,198,282,976,992,744,701,952
  5. Step 5: Solve for x
    x = 276,198,282,976,992,744,701,952/241,566,882,924.10
  6. Step 6: Final answer
    x = 1,143,361,538,774.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.