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Finding the Third Proportional to 83,546,848 and 127,722,144

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Solution

The third proportional to 83,546,848 and 127,722,144 is: 195,255,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,546,848 : 127,722,144 = 127,722,144 : x
  2. Step 2: Convert to fraction form
    83,546,848/127,722,144 = 127,722,144/x
  3. Step 3: Cross multiply
    83,546,848x = 127,722,144 × 127,722,144
  4. Step 4: Simplify right side
    83,546,848x = 16,312,946,067,956,736
  5. Step 5: Solve for x
    x = 16,312,946,067,956,736/83,546,848
  6. Step 6: Final answer
    x = 195,255,074.95

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