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Finding the Third Proportional to 109,017 and 233,794.13

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Solution

The third proportional to 109,017 and 233,794.13 is: 501,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,017 : 233,794.13 = 233,794.13 : x
  2. Step 2: Convert to fraction form
    109,017/233,794.13 = 233,794.13/x
  3. Step 3: Cross multiply
    109,017x = 233,794.13 × 233,794.13
  4. Step 4: Simplify right side
    109,017x = 54,659,692,884.52
  5. Step 5: Solve for x
    x = 54,659,692,884.52/109,017
  6. Step 6: Final answer
    x = 501,386.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.