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Finding the Third Proportional to 109,036.13 and 231,277.50

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Solution

The third proportional to 109,036.13 and 231,277.50 is: 490,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,036.13 : 231,277.50 = 231,277.50 : x
  2. Step 2: Convert to fraction form
    109,036.13/231,277.50 = 231,277.50/x
  3. Step 3: Cross multiply
    109,036.13x = 231,277.50 × 231,277.50
  4. Step 4: Simplify right side
    109,036.13x = 53,489,282,006.25
  5. Step 5: Solve for x
    x = 53,489,282,006.25/109,036.13
  6. Step 6: Final answer
    x = 490,564.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.