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Finding the Third Proportional to 97,708.78 and 146,563.17

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Solution

The third proportional to 97,708.78 and 146,563.17 is: 219,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,708.78 : 146,563.17 = 146,563.17 : x
  2. Step 2: Convert to fraction form
    97,708.78/146,563.17 = 146,563.17/x
  3. Step 3: Cross multiply
    97,708.78x = 146,563.17 × 146,563.17
  4. Step 4: Simplify right side
    97,708.78x = 21,480,763,350.06
  5. Step 5: Solve for x
    x = 21,480,763,350.06/97,708.78
  6. Step 6: Final answer
    x = 219,844.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.