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Finding the Third Proportional to 81,095,628 and 176,468,568

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Solution

The third proportional to 81,095,628 and 176,468,568 is: 384,005,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,095,628 : 176,468,568 = 176,468,568 : x
  2. Step 2: Convert to fraction form
    81,095,628/176,468,568 = 176,468,568/x
  3. Step 3: Cross multiply
    81,095,628x = 176,468,568 × 176,468,568
  4. Step 4: Simplify right side
    81,095,628x = 31,141,155,491,970,624
  5. Step 5: Solve for x
    x = 31,141,155,491,970,624/81,095,628
  6. Step 6: Final answer
    x = 384,005,355.90

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Why These Related Problems?

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