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Finding the Third Proportional to 49,959.28 and 97,389.84

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Solution

The third proportional to 49,959.28 and 97,389.84 is: 189,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,959.28 : 97,389.84 = 97,389.84 : x
  2. Step 2: Convert to fraction form
    49,959.28/97,389.84 = 97,389.84/x
  3. Step 3: Cross multiply
    49,959.28x = 97,389.84 × 97,389.84
  4. Step 4: Simplify right side
    49,959.28x = 9,484,781,665.65
  5. Step 5: Solve for x
    x = 9,484,781,665.65/49,959.28
  6. Step 6: Final answer
    x = 189,850.24

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.