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Finding the Third Proportional to 103,916.50 and 223,373

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Solution

The third proportional to 103,916.50 and 223,373 is: 480,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,916.50 : 223,373 = 223,373 : x
  2. Step 2: Convert to fraction form
    103,916.50/223,373 = 223,373/x
  3. Step 3: Cross multiply
    103,916.50x = 223,373 × 223,373
  4. Step 4: Simplify right side
    103,916.50x = 49,895,497,129
  5. Step 5: Solve for x
    x = 49,895,497,129/103,916.50
  6. Step 6: Final answer
    x = 480,149.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.