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Finding the Third Proportional to 99,748.13 and 152,604.84

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Solution

The third proportional to 99,748.13 and 152,604.84 is: 233,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,748.13 : 152,604.84 = 152,604.84 : x
  2. Step 2: Convert to fraction form
    99,748.13/152,604.84 = 152,604.84/x
  3. Step 3: Cross multiply
    99,748.13x = 152,604.84 × 152,604.84
  4. Step 4: Simplify right side
    99,748.13x = 23,288,238,335.96
  5. Step 5: Solve for x
    x = 23,288,238,335.96/99,748.13
  6. Step 6: Final answer
    x = 233,470.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.