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Finding the Third Proportional to 84,613.78 and 183,816.56

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Solution

The third proportional to 84,613.78 and 183,816.56 is: 399,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,613.78 : 183,816.56 = 183,816.56 : x
  2. Step 2: Convert to fraction form
    84,613.78/183,816.56 = 183,816.56/x
  3. Step 3: Cross multiply
    84,613.78x = 183,816.56 × 183,816.56
  4. Step 4: Simplify right side
    84,613.78x = 33,788,528,649.32
  5. Step 5: Solve for x
    x = 33,788,528,649.32/84,613.78
  6. Step 6: Final answer
    x = 399,326.54

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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.