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Finding the Third Proportional to 103,650 and 215,088

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Solution

The third proportional to 103,650 and 215,088 is: 446,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,650 : 215,088 = 215,088 : x
  2. Step 2: Convert to fraction form
    103,650/215,088 = 215,088/x
  3. Step 3: Cross multiply
    103,650x = 215,088 × 215,088
  4. Step 4: Simplify right side
    103,650x = 46,262,847,744
  5. Step 5: Solve for x
    x = 46,262,847,744/103,650
  6. Step 6: Final answer
    x = 446,337.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.