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Finding the Third Proportional to 48,897 and 103,050.56

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Solution

The third proportional to 48,897 and 103,050.56 is: 217,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,897 : 103,050.56 = 103,050.56 : x
  2. Step 2: Convert to fraction form
    48,897/103,050.56 = 103,050.56/x
  3. Step 3: Cross multiply
    48,897x = 103,050.56 × 103,050.56
  4. Step 4: Simplify right side
    48,897x = 10,619,418,431.57
  5. Step 5: Solve for x
    x = 10,619,418,431.57/48,897
  6. Step 6: Final answer
    x = 217,179.34

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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.