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Finding the Third Proportional to 83,459,754 and 127,667,983

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Solution

The third proportional to 83,459,754 and 127,667,983 is: 195,293,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,459,754 : 127,667,983 = 127,667,983 : x
  2. Step 2: Convert to fraction form
    83,459,754/127,667,983 = 127,667,983/x
  3. Step 3: Cross multiply
    83,459,754x = 127,667,983 × 127,667,983
  4. Step 4: Simplify right side
    83,459,754x = 16,299,113,883,288,288
  5. Step 5: Solve for x
    x = 16,299,113,883,288,288/83,459,754
  6. Step 6: Final answer
    x = 195,293,097.60

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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.