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Finding the Third Proportional to 135,885,463.31 and 207,780,240.66

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Solution

The third proportional to 135,885,463.31 and 207,780,240.66 is: 317,713,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,885,463.31 : 207,780,240.66 = 207,780,240.66 : x
  2. Step 2: Convert to fraction form
    135,885,463.31/207,780,240.66 = 207,780,240.66/x
  3. Step 3: Cross multiply
    135,885,463.31x = 207,780,240.66 × 207,780,240.66
  4. Step 4: Simplify right side
    135,885,463.31x = 43,172,628,407,169,168
  5. Step 5: Solve for x
    x = 43,172,628,407,169,168/135,885,463.31
  6. Step 6: Final answer
    x = 317,713,369.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.