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Finding the Third Proportional to 106,118 and 229,732

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Solution

The third proportional to 106,118 and 229,732 is: 497,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,118 : 229,732 = 229,732 : x
  2. Step 2: Convert to fraction form
    106,118/229,732 = 229,732/x
  3. Step 3: Cross multiply
    106,118x = 229,732 × 229,732
  4. Step 4: Simplify right side
    106,118x = 52,776,791,824
  5. Step 5: Solve for x
    x = 52,776,791,824/106,118
  6. Step 6: Final answer
    x = 497,340.62

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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.