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Finding the Third Proportional to 103,123.50 and 216,624

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Solution

The third proportional to 103,123.50 and 216,624 is: 455,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,123.50 : 216,624 = 216,624 : x
  2. Step 2: Convert to fraction form
    103,123.50/216,624 = 216,624/x
  3. Step 3: Cross multiply
    103,123.50x = 216,624 × 216,624
  4. Step 4: Simplify right side
    103,123.50x = 46,925,957,376
  5. Step 5: Solve for x
    x = 46,925,957,376/103,123.50
  6. Step 6: Final answer
    x = 455,046.21

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