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Finding the Third Proportional to 98,107.45 and 207,901.69

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Solution

The third proportional to 98,107.45 and 207,901.69 is: 440,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,107.45 : 207,901.69 = 207,901.69 : x
  2. Step 2: Convert to fraction form
    98,107.45/207,901.69 = 207,901.69/x
  3. Step 3: Cross multiply
    98,107.45x = 207,901.69 × 207,901.69
  4. Step 4: Simplify right side
    98,107.45x = 43,223,111,665.35
  5. Step 5: Solve for x
    x = 43,223,111,665.35/98,107.45
  6. Step 6: Final answer
    x = 440,569.09

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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.