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Finding the Third Proportional to 84,574.13 and 183,902.91

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Solution

The third proportional to 84,574.13 and 183,902.91 is: 399,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,574.13 : 183,902.91 = 183,902.91 : x
  2. Step 2: Convert to fraction form
    84,574.13/183,902.91 = 183,902.91/x
  3. Step 3: Cross multiply
    84,574.13x = 183,902.91 × 183,902.91
  4. Step 4: Simplify right side
    84,574.13x = 33,820,278,927.20
  5. Step 5: Solve for x
    x = 33,820,278,927.20/84,574.13
  6. Step 6: Final answer
    x = 399,889.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.