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Finding the Third Proportional to 83,789.44 and 191,430.84

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Solution

The third proportional to 83,789.44 and 191,430.84 is: 437,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,789.44 : 191,430.84 = 191,430.84 : x
  2. Step 2: Convert to fraction form
    83,789.44/191,430.84 = 191,430.84/x
  3. Step 3: Cross multiply
    83,789.44x = 191,430.84 × 191,430.84
  4. Step 4: Simplify right side
    83,789.44x = 36,645,767,938.84
  5. Step 5: Solve for x
    x = 36,645,767,938.84/83,789.44
  6. Step 6: Final answer
    x = 437,355.46

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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.