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Finding the Third Proportional to 240,194,488 and 524,432,239

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Solution

The third proportional to 240,194,488 and 524,432,239 is: 1,145,026,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,194,488 : 524,432,239 = 524,432,239 : x
  2. Step 2: Convert to fraction form
    240,194,488/524,432,239 = 524,432,239/x
  3. Step 3: Cross multiply
    240,194,488x = 524,432,239 × 524,432,239
  4. Step 4: Simplify right side
    240,194,488x = 275,029,173,302,553,120
  5. Step 5: Solve for x
    x = 275,029,173,302,553,120/240,194,488
  6. Step 6: Final answer
    x = 1,145,026,997.05

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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.