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Finding the Third Proportional to 71,301,734 and 156,221,638

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Solution

The third proportional to 71,301,734 and 156,221,638 is: 342,280,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,301,734 : 156,221,638 = 156,221,638 : x
  2. Step 2: Convert to fraction form
    71,301,734/156,221,638 = 156,221,638/x
  3. Step 3: Cross multiply
    71,301,734x = 156,221,638 × 156,221,638
  4. Step 4: Simplify right side
    71,301,734x = 24,405,200,179,403,044
  5. Step 5: Solve for x
    x = 24,405,200,179,403,044/71,301,734
  6. Step 6: Final answer
    x = 342,280,598.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.