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Finding the Third Proportional to 48,875.81 and 107,093.25

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Solution

The third proportional to 48,875.81 and 107,093.25 is: 234,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,875.81 : 107,093.25 = 107,093.25 : x
  2. Step 2: Convert to fraction form
    48,875.81/107,093.25 = 107,093.25/x
  3. Step 3: Cross multiply
    48,875.81x = 107,093.25 × 107,093.25
  4. Step 4: Simplify right side
    48,875.81x = 11,468,964,195.56
  5. Step 5: Solve for x
    x = 11,468,964,195.56/48,875.81
  6. Step 6: Final answer
    x = 234,655.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.