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Finding the Third Proportional to 49,385.95 and 104,924.74

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Solution

The third proportional to 49,385.95 and 104,924.74 is: 222,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,385.95 : 104,924.74 = 104,924.74 : x
  2. Step 2: Convert to fraction form
    49,385.95/104,924.74 = 104,924.74/x
  3. Step 3: Cross multiply
    49,385.95x = 104,924.74 × 104,924.74
  4. Step 4: Simplify right side
    49,385.95x = 11,009,201,523.11
  5. Step 5: Solve for x
    x = 11,009,201,523.11/49,385.95
  6. Step 6: Final answer
    x = 222,921.72

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Why These Related Problems?

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