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Finding the Third Proportional to 112,078,416 and 243,287,682

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Solution

The third proportional to 112,078,416 and 243,287,682 is: 528,102,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,078,416 : 243,287,682 = 243,287,682 : x
  2. Step 2: Convert to fraction form
    112,078,416/243,287,682 = 243,287,682/x
  3. Step 3: Cross multiply
    112,078,416x = 243,287,682 × 243,287,682
  4. Step 4: Simplify right side
    112,078,416x = 59,188,896,212,933,120
  5. Step 5: Solve for x
    x = 59,188,896,212,933,120/112,078,416
  6. Step 6: Final answer
    x = 528,102,540.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.