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Finding the Third Proportional to 81,932,153.38 and 175,550,801.82

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Solution

The third proportional to 81,932,153.38 and 175,550,801.82 is: 376,141,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,932,153.38 : 175,550,801.82 = 175,550,801.82 : x
  2. Step 2: Convert to fraction form
    81,932,153.38/175,550,801.82 = 175,550,801.82/x
  3. Step 3: Cross multiply
    81,932,153.38x = 175,550,801.82 × 175,550,801.82
  4. Step 4: Simplify right side
    81,932,153.38x = 30,818,084,019,072,624
  5. Step 5: Solve for x
    x = 30,818,084,019,072,624/81,932,153.38
  6. Step 6: Final answer
    x = 376,141,511.58

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