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Finding the Third Proportional to 90,475.31 and 133,078.78

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Solution

The third proportional to 90,475.31 and 133,078.78 is: 195,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,475.31 : 133,078.78 = 133,078.78 : x
  2. Step 2: Convert to fraction form
    90,475.31/133,078.78 = 133,078.78/x
  3. Step 3: Cross multiply
    90,475.31x = 133,078.78 × 133,078.78
  4. Step 4: Simplify right side
    90,475.31x = 17,709,962,018.99
  5. Step 5: Solve for x
    x = 17,709,962,018.99/90,475.31
  6. Step 6: Final answer
    x = 195,743.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.