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Finding the Third Proportional to 71,865,811.13 and 156,342,966.75

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Solution

The third proportional to 71,865,811.13 and 156,342,966.75 is: 340,121,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,865,811.13 : 156,342,966.75 = 156,342,966.75 : x
  2. Step 2: Convert to fraction form
    71,865,811.13/156,342,966.75 = 156,342,966.75/x
  3. Step 3: Cross multiply
    71,865,811.13x = 156,342,966.75 × 156,342,966.75
  4. Step 4: Simplify right side
    71,865,811.13x = 24,443,123,252,191,604
  5. Step 5: Solve for x
    x = 24,443,123,252,191,604/71,865,811.13
  6. Step 6: Final answer
    x = 340,121,719.49

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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.