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Finding the Third Proportional to 48,897 and 103,047.75

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Solution

The third proportional to 48,897 and 103,047.75 is: 217,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,897 : 103,047.75 = 103,047.75 : x
  2. Step 2: Convert to fraction form
    48,897/103,047.75 = 103,047.75/x
  3. Step 3: Cross multiply
    48,897x = 103,047.75 × 103,047.75
  4. Step 4: Simplify right side
    48,897x = 10,618,838,780.06
  5. Step 5: Solve for x
    x = 10,618,838,780.06/48,897
  6. Step 6: Final answer
    x = 217,167.49

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.