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Finding the Third Proportional to 84,460.88 and 183,622.88

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Solution

The third proportional to 84,460.88 and 183,622.88 is: 399,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,460.88 : 183,622.88 = 183,622.88 : x
  2. Step 2: Convert to fraction form
    84,460.88/183,622.88 = 183,622.88/x
  3. Step 3: Cross multiply
    84,460.88x = 183,622.88 × 183,622.88
  4. Step 4: Simplify right side
    84,460.88x = 33,717,360,223.27
  5. Step 5: Solve for x
    x = 33,717,360,223.27/84,460.88
  6. Step 6: Final answer
    x = 399,206.85

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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.