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Finding the Third Proportional to 99,723.66 and 149,655.52

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Solution

The third proportional to 99,723.66 and 149,655.52 is: 224,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,723.66 : 149,655.52 = 149,655.52 : x
  2. Step 2: Convert to fraction form
    99,723.66/149,655.52 = 149,655.52/x
  3. Step 3: Cross multiply
    99,723.66x = 149,655.52 × 149,655.52
  4. Step 4: Simplify right side
    99,723.66x = 22,396,773,356.98
  5. Step 5: Solve for x
    x = 22,396,773,356.98/99,723.66
  6. Step 6: Final answer
    x = 224,588.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.