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Finding the Third Proportional to 98,422.31 and 152,691.19

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Solution

The third proportional to 98,422.31 and 152,691.19 is: 236,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,422.31 : 152,691.19 = 152,691.19 : x
  2. Step 2: Convert to fraction form
    98,422.31/152,691.19 = 152,691.19/x
  3. Step 3: Cross multiply
    98,422.31x = 152,691.19 × 152,691.19
  4. Step 4: Simplify right side
    98,422.31x = 23,314,598,740.16
  5. Step 5: Solve for x
    x = 23,314,598,740.16/98,422.31
  6. Step 6: Final answer
    x = 236,883.27

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Why These Related Problems?

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