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Finding the Third Proportional to 99,810.75 and 150,753.75

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Solution

The third proportional to 99,810.75 and 150,753.75 is: 227,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810.75 : 150,753.75 = 150,753.75 : x
  2. Step 2: Convert to fraction form
    99,810.75/150,753.75 = 150,753.75/x
  3. Step 3: Cross multiply
    99,810.75x = 150,753.75 × 150,753.75
  4. Step 4: Simplify right side
    99,810.75x = 22,726,693,139.06
  5. Step 5: Solve for x
    x = 22,726,693,139.06/99,810.75
  6. Step 6: Final answer
    x = 227,697.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.