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Finding the Third Proportional to 98,440.31 and 152,720.44

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Solution

The third proportional to 98,440.31 and 152,720.44 is: 236,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,440.31 : 152,720.44 = 152,720.44 : x
  2. Step 2: Convert to fraction form
    98,440.31/152,720.44 = 152,720.44/x
  3. Step 3: Cross multiply
    98,440.31x = 152,720.44 × 152,720.44
  4. Step 4: Simplify right side
    98,440.31x = 23,323,532,030.19
  5. Step 5: Solve for x
    x = 23,323,532,030.19/98,440.31
  6. Step 6: Final answer
    x = 236,930.70

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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.