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Finding the Third Proportional to 42,710.57 and 93,648.02

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Solution

The third proportional to 42,710.57 and 93,648.02 is: 205,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,710.57 : 93,648.02 = 93,648.02 : x
  2. Step 2: Convert to fraction form
    42,710.57/93,648.02 = 93,648.02/x
  3. Step 3: Cross multiply
    42,710.57x = 93,648.02 × 93,648.02
  4. Step 4: Simplify right side
    42,710.57x = 8,769,952,293.75
  5. Step 5: Solve for x
    x = 8,769,952,293.75/42,710.57
  6. Step 6: Final answer
    x = 205,334.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.