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Finding the Third Proportional to 98,521.31 and 152,864.72

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Solution

The third proportional to 98,521.31 and 152,864.72 is: 237,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,521.31 : 152,864.72 = 152,864.72 : x
  2. Step 2: Convert to fraction form
    98,521.31/152,864.72 = 152,864.72/x
  3. Step 3: Cross multiply
    98,521.31x = 152,864.72 × 152,864.72
  4. Step 4: Simplify right side
    98,521.31x = 23,367,622,238.52
  5. Step 5: Solve for x
    x = 23,367,622,238.52/98,521.31
  6. Step 6: Final answer
    x = 237,183.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.