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Finding the Third Proportional to 84,715.88 and 192,835.69

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Solution

The third proportional to 84,715.88 and 192,835.69 is: 438,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,715.88 : 192,835.69 = 192,835.69 : x
  2. Step 2: Convert to fraction form
    84,715.88/192,835.69 = 192,835.69/x
  3. Step 3: Cross multiply
    84,715.88x = 192,835.69 × 192,835.69
  4. Step 4: Simplify right side
    84,715.88x = 37,185,602,373.60
  5. Step 5: Solve for x
    x = 37,185,602,373.60/84,715.88
  6. Step 6: Final answer
    x = 438,944.91

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.