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Finding the Third Proportional to 83,459,635.88 and 127,667,826

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Solution

The third proportional to 83,459,635.88 and 127,667,826 is: 195,292,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,459,635.88 : 127,667,826 = 127,667,826 : x
  2. Step 2: Convert to fraction form
    83,459,635.88/127,667,826 = 127,667,826/x
  3. Step 3: Cross multiply
    83,459,635.88x = 127,667,826 × 127,667,826
  4. Step 4: Simplify right side
    83,459,635.88x = 16,299,073,795,566,276
  5. Step 5: Solve for x
    x = 16,299,073,795,566,276/83,459,635.88
  6. Step 6: Final answer
    x = 195,292,893.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.