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Finding the Third Proportional to 49,856.06 and 109,398.94

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Solution

The third proportional to 49,856.06 and 109,398.94 is: 240,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,856.06 : 109,398.94 = 109,398.94 : x
  2. Step 2: Convert to fraction form
    49,856.06/109,398.94 = 109,398.94/x
  3. Step 3: Cross multiply
    49,856.06x = 109,398.94 × 109,398.94
  4. Step 4: Simplify right side
    49,856.06x = 11,968,127,526.13
  5. Step 5: Solve for x
    x = 11,968,127,526.13/49,856.06
  6. Step 6: Final answer
    x = 240,053.60

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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.