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Finding the Third Proportional to 99,586.13 and 147,865.50

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Solution

The third proportional to 99,586.13 and 147,865.50 is: 219,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,586.13 : 147,865.50 = 147,865.50 : x
  2. Step 2: Convert to fraction form
    99,586.13/147,865.50 = 147,865.50/x
  3. Step 3: Cross multiply
    99,586.13x = 147,865.50 × 147,865.50
  4. Step 4: Simplify right side
    99,586.13x = 21,864,206,090.25
  5. Step 5: Solve for x
    x = 21,864,206,090.25/99,586.13
  6. Step 6: Final answer
    x = 219,550.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.