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Finding the Third Proportional to 99,808.50 and 146,794.50

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Solution

The third proportional to 99,808.50 and 146,794.50 is: 215,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,808.50 : 146,794.50 = 146,794.50 : x
  2. Step 2: Convert to fraction form
    99,808.50/146,794.50 = 146,794.50/x
  3. Step 3: Cross multiply
    99,808.50x = 146,794.50 × 146,794.50
  4. Step 4: Simplify right side
    99,808.50x = 21,548,625,230.25
  5. Step 5: Solve for x
    x = 21,548,625,230.25/99,808.50
  6. Step 6: Final answer
    x = 215,899.70

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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.