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Finding the Third Proportional to 83,459,752 and 127,667,980

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Solution

The third proportional to 83,459,752 and 127,667,980 is: 195,293,093.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,459,752 : 127,667,980 = 127,667,980 : x
  2. Step 2: Convert to fraction form
    83,459,752/127,667,980 = 127,667,980/x
  3. Step 3: Cross multiply
    83,459,752x = 127,667,980 × 127,667,980
  4. Step 4: Simplify right side
    83,459,752x = 16,299,113,117,280,400
  5. Step 5: Solve for x
    x = 16,299,113,117,280,400/83,459,752
  6. Step 6: Final answer
    x = 195,293,093.10

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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.