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Finding the Third Proportional to 84,472.88 and 183,647.25

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Solution

The third proportional to 84,472.88 and 183,647.25 is: 399,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,472.88 : 183,647.25 = 183,647.25 : x
  2. Step 2: Convert to fraction form
    84,472.88/183,647.25 = 183,647.25/x
  3. Step 3: Cross multiply
    84,472.88x = 183,647.25 × 183,647.25
  4. Step 4: Simplify right side
    84,472.88x = 33,726,312,432.56
  5. Step 5: Solve for x
    x = 33,726,312,432.56/84,472.88
  6. Step 6: Final answer
    x = 399,256.12

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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.