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Finding the Third Proportional to 103,294.13 and 215,865

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Solution

The third proportional to 103,294.13 and 215,865 is: 451,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,294.13 : 215,865 = 215,865 : x
  2. Step 2: Convert to fraction form
    103,294.13/215,865 = 215,865/x
  3. Step 3: Cross multiply
    103,294.13x = 215,865 × 215,865
  4. Step 4: Simplify right side
    103,294.13x = 46,597,698,225
  5. Step 5: Solve for x
    x = 46,597,698,225/103,294.13
  6. Step 6: Final answer
    x = 451,116.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.