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Finding the Third Proportional to 81,932,166 and 175,550,830

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Solution

The third proportional to 81,932,166 and 175,550,830 is: 376,141,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,932,166 : 175,550,830 = 175,550,830 : x
  2. Step 2: Convert to fraction form
    81,932,166/175,550,830 = 175,550,830/x
  3. Step 3: Cross multiply
    81,932,166x = 175,550,830 × 175,550,830
  4. Step 4: Simplify right side
    81,932,166x = 30,818,093,913,688,900
  5. Step 5: Solve for x
    x = 30,818,093,913,688,900/81,932,166
  6. Step 6: Final answer
    x = 376,141,574.41

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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.