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Finding the Third Proportional to 106,547 and 229,698

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Solution

The third proportional to 106,547 and 229,698 is: 495,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,547 : 229,698 = 229,698 : x
  2. Step 2: Convert to fraction form
    106,547/229,698 = 229,698/x
  3. Step 3: Cross multiply
    106,547x = 229,698 × 229,698
  4. Step 4: Simplify right side
    106,547x = 52,761,171,204
  5. Step 5: Solve for x
    x = 52,761,171,204/106,547
  6. Step 6: Final answer
    x = 495,191.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.