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Finding the Third Proportional to 81,942,900.75 and 171,462,116.25

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Solution

The third proportional to 81,942,900.75 and 171,462,116.25 is: 358,777,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,942,900.75 : 171,462,116.25 = 171,462,116.25 : x
  2. Step 2: Convert to fraction form
    81,942,900.75/171,462,116.25 = 171,462,116.25/x
  3. Step 3: Cross multiply
    81,942,900.75x = 171,462,116.25 × 171,462,116.25
  4. Step 4: Simplify right side
    81,942,900.75x = 29,399,257,308,928,516
  5. Step 5: Solve for x
    x = 29,399,257,308,928,516/81,942,900.75
  6. Step 6: Final answer
    x = 358,777,356.43

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.