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Finding the Third Proportional to 95,698.13 and 144,315.84

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Solution

The third proportional to 95,698.13 and 144,315.84 is: 217,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,698.13 : 144,315.84 = 144,315.84 : x
  2. Step 2: Convert to fraction form
    95,698.13/144,315.84 = 144,315.84/x
  3. Step 3: Cross multiply
    95,698.13x = 144,315.84 × 144,315.84
  4. Step 4: Simplify right side
    95,698.13x = 20,827,062,757.27
  5. Step 5: Solve for x
    x = 20,827,062,757.27/95,698.13
  6. Step 6: Final answer
    x = 217,632.92

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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.