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Finding the Third Proportional to 109,461.38 and 233,047.13

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Solution

The third proportional to 109,461.38 and 233,047.13 is: 496,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,461.38 : 233,047.13 = 233,047.13 : x
  2. Step 2: Convert to fraction form
    109,461.38/233,047.13 = 233,047.13/x
  3. Step 3: Cross multiply
    109,461.38x = 233,047.13 × 233,047.13
  4. Step 4: Simplify right side
    109,461.38x = 54,310,962,470.77
  5. Step 5: Solve for x
    x = 54,310,962,470.77/109,461.38
  6. Step 6: Final answer
    x = 496,165.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.