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Finding the Third Proportional to 77,877.70 and 183,736.48

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Solution

The third proportional to 77,877.70 and 183,736.48 is: 433,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,877.70 : 183,736.48 = 183,736.48 : x
  2. Step 2: Convert to fraction form
    77,877.70/183,736.48 = 183,736.48/x
  3. Step 3: Cross multiply
    77,877.70x = 183,736.48 × 183,736.48
  4. Step 4: Simplify right side
    77,877.70x = 33,759,092,819.60
  5. Step 5: Solve for x
    x = 33,759,092,819.60/77,877.70
  6. Step 6: Final answer
    x = 433,488.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.