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Finding the Third Proportional to 103,696 and 217,835

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Solution

The third proportional to 103,696 and 217,835 is: 457,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696 : 217,835 = 217,835 : x
  2. Step 2: Convert to fraction form
    103,696/217,835 = 217,835/x
  3. Step 3: Cross multiply
    103,696x = 217,835 × 217,835
  4. Step 4: Simplify right side
    103,696x = 47,452,087,225
  5. Step 5: Solve for x
    x = 47,452,087,225/103,696
  6. Step 6: Final answer
    x = 457,607.69

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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.