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Finding the Third Proportional to 99,840.94 and 149,807.81

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Solution

The third proportional to 99,840.94 and 149,807.81 is: 224,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,840.94 : 149,807.81 = 149,807.81 : x
  2. Step 2: Convert to fraction form
    99,840.94/149,807.81 = 149,807.81/x
  3. Step 3: Cross multiply
    99,840.94x = 149,807.81 × 149,807.81
  4. Step 4: Simplify right side
    99,840.94x = 22,442,380,686.04
  5. Step 5: Solve for x
    x = 22,442,380,686.04/99,840.94
  6. Step 6: Final answer
    x = 224,781.35

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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.