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Finding the Third Proportional to 98,108.50 and 207,904

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Solution

The third proportional to 98,108.50 and 207,904 is: 440,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,108.50 : 207,904 = 207,904 : x
  2. Step 2: Convert to fraction form
    98,108.50/207,904 = 207,904/x
  3. Step 3: Cross multiply
    98,108.50x = 207,904 × 207,904
  4. Step 4: Simplify right side
    98,108.50x = 43,224,073,216
  5. Step 5: Solve for x
    x = 43,224,073,216/98,108.50
  6. Step 6: Final answer
    x = 440,574.19

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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.