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Finding the Third Proportional to 98,443.13 and 148,565.25

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Solution

The third proportional to 98,443.13 and 148,565.25 is: 224,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,443.13 : 148,565.25 = 148,565.25 : x
  2. Step 2: Convert to fraction form
    98,443.13/148,565.25 = 148,565.25/x
  3. Step 3: Cross multiply
    98,443.13x = 148,565.25 × 148,565.25
  4. Step 4: Simplify right side
    98,443.13x = 22,071,633,507.56
  5. Step 5: Solve for x
    x = 22,071,633,507.56/98,443.13
  6. Step 6: Final answer
    x = 224,206.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.