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Finding the Third Proportional to 103,966.50 and 218,797.50

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Solution

The third proportional to 103,966.50 and 218,797.50 is: 460,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,966.50 : 218,797.50 = 218,797.50 : x
  2. Step 2: Convert to fraction form
    103,966.50/218,797.50 = 218,797.50/x
  3. Step 3: Cross multiply
    103,966.50x = 218,797.50 × 218,797.50
  4. Step 4: Simplify right side
    103,966.50x = 47,872,346,006.25
  5. Step 5: Solve for x
    x = 47,872,346,006.25/103,966.50
  6. Step 6: Final answer
    x = 460,459.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.