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Finding the Third Proportional to 98,184.34 and 150,132.23

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Solution

The third proportional to 98,184.34 and 150,132.23 is: 229,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,184.34 : 150,132.23 = 150,132.23 : x
  2. Step 2: Convert to fraction form
    98,184.34/150,132.23 = 150,132.23/x
  3. Step 3: Cross multiply
    98,184.34x = 150,132.23 × 150,132.23
  4. Step 4: Simplify right side
    98,184.34x = 22,539,687,798.43
  5. Step 5: Solve for x
    x = 22,539,687,798.43/98,184.34
  6. Step 6: Final answer
    x = 229,565.00

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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.