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Finding the Third Proportional to 72,224,716 and 156,229,748

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Solution

The third proportional to 72,224,716 and 156,229,748 is: 337,941,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,224,716 : 156,229,748 = 156,229,748 : x
  2. Step 2: Convert to fraction form
    72,224,716/156,229,748 = 156,229,748/x
  3. Step 3: Cross multiply
    72,224,716x = 156,229,748 × 156,229,748
  4. Step 4: Simplify right side
    72,224,716x = 24,407,734,160,143,504
  5. Step 5: Solve for x
    x = 24,407,734,160,143,504/72,224,716
  6. Step 6: Final answer
    x = 337,941,573.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.