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Finding the Third Proportional to 103,645 and 219,746

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Solution

The third proportional to 103,645 and 219,746 is: 465,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,645 : 219,746 = 219,746 : x
  2. Step 2: Convert to fraction form
    103,645/219,746 = 219,746/x
  3. Step 3: Cross multiply
    103,645x = 219,746 × 219,746
  4. Step 4: Simplify right side
    103,645x = 48,288,304,516
  5. Step 5: Solve for x
    x = 48,288,304,516/103,645
  6. Step 6: Final answer
    x = 465,900.96

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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.