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Finding the Third Proportional to 103,700 and 223,940

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Solution

The third proportional to 103,700 and 223,940 is: 483,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,700 : 223,940 = 223,940 : x
  2. Step 2: Convert to fraction form
    103,700/223,940 = 223,940/x
  3. Step 3: Cross multiply
    103,700x = 223,940 × 223,940
  4. Step 4: Simplify right side
    103,700x = 50,149,123,600
  5. Step 5: Solve for x
    x = 50,149,123,600/103,700
  6. Step 6: Final answer
    x = 483,598.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.