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Finding the Third Proportional to 99,820.50 and 146,811.75

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Solution

The third proportional to 99,820.50 and 146,811.75 is: 215,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,820.50 : 146,811.75 = 146,811.75 : x
  2. Step 2: Convert to fraction form
    99,820.50/146,811.75 = 146,811.75/x
  3. Step 3: Cross multiply
    99,820.50x = 146,811.75 × 146,811.75
  4. Step 4: Simplify right side
    99,820.50x = 21,553,689,938.06
  5. Step 5: Solve for x
    x = 21,553,689,938.06/99,820.50
  6. Step 6: Final answer
    x = 215,924.48

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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.