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Finding the Third Proportional to 98,722.55 and 150,937.17

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Solution

The third proportional to 98,722.55 and 150,937.17 is: 230,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,722.55 : 150,937.17 = 150,937.17 : x
  2. Step 2: Convert to fraction form
    98,722.55/150,937.17 = 150,937.17/x
  3. Step 3: Cross multiply
    98,722.55x = 150,937.17 × 150,937.17
  4. Step 4: Simplify right side
    98,722.55x = 22,782,029,853.62
  5. Step 5: Solve for x
    x = 22,782,029,853.62/98,722.55
  6. Step 6: Final answer
    x = 230,768.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.