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Finding the Third Proportional to 71,971,265 and 156,721,090

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Solution

The third proportional to 71,971,265 and 156,721,090 is: 341,268,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,971,265 : 156,721,090 = 156,721,090 : x
  2. Step 2: Convert to fraction form
    71,971,265/156,721,090 = 156,721,090/x
  3. Step 3: Cross multiply
    71,971,265x = 156,721,090 × 156,721,090
  4. Step 4: Simplify right side
    71,971,265x = 24,561,500,050,788,100
  5. Step 5: Solve for x
    x = 24,561,500,050,788,100/71,971,265
  6. Step 6: Final answer
    x = 341,268,144.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.