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Finding the Third Proportional to 107,938 and 229,029

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Solution

The third proportional to 107,938 and 229,029 is: 485,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,938 : 229,029 = 229,029 : x
  2. Step 2: Convert to fraction form
    107,938/229,029 = 229,029/x
  3. Step 3: Cross multiply
    107,938x = 229,029 × 229,029
  4. Step 4: Simplify right side
    107,938x = 52,454,282,841
  5. Step 5: Solve for x
    x = 52,454,282,841/107,938
  6. Step 6: Final answer
    x = 485,966.79

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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.