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Finding the Third Proportional to 77,882,513.31 and 166,189,200.13

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Solution

The third proportional to 77,882,513.31 and 166,189,200.13 is: 354,621,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,513.31 : 166,189,200.13 = 166,189,200.13 : x
  2. Step 2: Convert to fraction form
    77,882,513.31/166,189,200.13 = 166,189,200.13/x
  3. Step 3: Cross multiply
    77,882,513.31x = 166,189,200.13 × 166,189,200.13
  4. Step 4: Simplify right side
    77,882,513.31x = 27,618,850,238,187,300
  5. Step 5: Solve for x
    x = 27,618,850,238,187,300/77,882,513.31
  6. Step 6: Final answer
    x = 354,621,969.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.