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Finding the Third Proportional to 84,282.75 and 191,948.63

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Solution

The third proportional to 84,282.75 and 191,948.63 is: 437,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,282.75 : 191,948.63 = 191,948.63 : x
  2. Step 2: Convert to fraction form
    84,282.75/191,948.63 = 191,948.63/x
  3. Step 3: Cross multiply
    84,282.75x = 191,948.63 × 191,948.63
  4. Step 4: Simplify right side
    84,282.75x = 36,844,274,639.39
  5. Step 5: Solve for x
    x = 36,844,274,639.39/84,282.75
  6. Step 6: Final answer
    x = 437,150.84

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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.