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Finding the Third Proportional to 45,831.38 and 99,438.75

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Solution

The third proportional to 45,831.38 and 99,438.75 is: 215,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,831.38 : 99,438.75 = 99,438.75 : x
  2. Step 2: Convert to fraction form
    45,831.38/99,438.75 = 99,438.75/x
  3. Step 3: Cross multiply
    45,831.38x = 99,438.75 × 99,438.75
  4. Step 4: Simplify right side
    45,831.38x = 9,888,065,001.56
  5. Step 5: Solve for x
    x = 9,888,065,001.56/45,831.38
  6. Step 6: Final answer
    x = 215,748.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.