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Finding the Third Proportional to 81,625,497.19 and 177,599,643.19

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Solution

The third proportional to 81,625,497.19 and 177,599,643.19 is: 386,418,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,625,497.19 : 177,599,643.19 = 177,599,643.19 : x
  2. Step 2: Convert to fraction form
    81,625,497.19/177,599,643.19 = 177,599,643.19/x
  3. Step 3: Cross multiply
    81,625,497.19x = 177,599,643.19 × 177,599,643.19
  4. Step 4: Simplify right side
    81,625,497.19x = 31,541,633,260,327,316
  5. Step 5: Solve for x
    x = 31,541,633,260,327,316/81,625,497.19
  6. Step 6: Final answer
    x = 386,418,880.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.