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Finding the Third Proportional to 81,932,231 and 175,550,963

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Solution

The third proportional to 81,932,231 and 175,550,963 is: 376,141,845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,932,231 : 175,550,963 = 175,550,963 : x
  2. Step 2: Convert to fraction form
    81,932,231/175,550,963 = 175,550,963/x
  3. Step 3: Cross multiply
    81,932,231x = 175,550,963 × 175,550,963
  4. Step 4: Simplify right side
    81,932,231x = 30,818,140,610,227,368
  5. Step 5: Solve for x
    x = 30,818,140,610,227,368/81,932,231
  6. Step 6: Final answer
    x = 376,141,845.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.