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Finding the Third Proportional to 81,642,340.13 and 117,634,614.19

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Solution

The third proportional to 81,642,340.13 and 117,634,614.19 is: 169,494,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,642,340.13 : 117,634,614.19 = 117,634,614.19 : x
  2. Step 2: Convert to fraction form
    81,642,340.13/117,634,614.19 = 117,634,614.19/x
  3. Step 3: Cross multiply
    81,642,340.13x = 117,634,614.19 × 117,634,614.19
  4. Step 4: Simplify right side
    81,642,340.13x = 13,837,902,455,041,976
  5. Step 5: Solve for x
    x = 13,837,902,455,041,976/81,642,340.13
  6. Step 6: Final answer
    x = 169,494,191.79

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.