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Finding the Third Proportional to 71,971,238 and 156,721,036

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Solution

The third proportional to 71,971,238 and 156,721,036 is: 341,268,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,971,238 : 156,721,036 = 156,721,036 : x
  2. Step 2: Convert to fraction form
    71,971,238/156,721,036 = 156,721,036/x
  3. Step 3: Cross multiply
    71,971,238x = 156,721,036 × 156,721,036
  4. Step 4: Simplify right side
    71,971,238x = 24,561,483,124,913,296
  5. Step 5: Solve for x
    x = 24,561,483,124,913,296/71,971,238
  6. Step 6: Final answer
    x = 341,268,037.17

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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.