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Finding the Third Proportional to 48,281.06 and 97,875.84

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Solution

The third proportional to 48,281.06 and 97,875.84 is: 198,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,281.06 : 97,875.84 = 97,875.84 : x
  2. Step 2: Convert to fraction form
    48,281.06/97,875.84 = 97,875.84/x
  3. Step 3: Cross multiply
    48,281.06x = 97,875.84 × 97,875.84
  4. Step 4: Simplify right side
    48,281.06x = 9,579,680,789.77
  5. Step 5: Solve for x
    x = 9,579,680,789.77/48,281.06
  6. Step 6: Final answer
    x = 198,414.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.