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Finding the Third Proportional to 99,765.84 and 146,731.50

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Solution

The third proportional to 99,765.84 and 146,731.50 is: 215,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765.84 : 146,731.50 = 146,731.50 : x
  2. Step 2: Convert to fraction form
    99,765.84/146,731.50 = 146,731.50/x
  3. Step 3: Cross multiply
    99,765.84x = 146,731.50 × 146,731.50
  4. Step 4: Simplify right side
    99,765.84x = 21,530,133,092.25
  5. Step 5: Solve for x
    x = 21,530,133,092.25/99,765.84
  6. Step 6: Final answer
    x = 215,806.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.