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Finding the Third Proportional to 97,648.88 and 152,182.13

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Solution

The third proportional to 97,648.88 and 152,182.13 is: 237,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,648.88 : 152,182.13 = 152,182.13 : x
  2. Step 2: Convert to fraction form
    97,648.88/152,182.13 = 152,182.13/x
  3. Step 3: Cross multiply
    97,648.88x = 152,182.13 × 152,182.13
  4. Step 4: Simplify right side
    97,648.88x = 23,159,399,169.52
  5. Step 5: Solve for x
    x = 23,159,399,169.52/97,648.88
  6. Step 6: Final answer
    x = 237,170.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.