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Finding the Third Proportional to 48,452.81 and 102,775.59

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Solution

The third proportional to 48,452.81 and 102,775.59 is: 218,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,452.81 : 102,775.59 = 102,775.59 : x
  2. Step 2: Convert to fraction form
    48,452.81/102,775.59 = 102,775.59/x
  3. Step 3: Cross multiply
    48,452.81x = 102,775.59 × 102,775.59
  4. Step 4: Simplify right side
    48,452.81x = 10,562,822,670.67
  5. Step 5: Solve for x
    x = 10,562,822,670.67/48,452.81
  6. Step 6: Final answer
    x = 218,002.26

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.