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Finding the Third Proportional to 216,246,568 and 447,823,196

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Solution

The third proportional to 216,246,568 and 447,823,196 is: 927,393,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,246,568 : 447,823,196 = 447,823,196 : x
  2. Step 2: Convert to fraction form
    216,246,568/447,823,196 = 447,823,196/x
  3. Step 3: Cross multiply
    216,246,568x = 447,823,196 × 447,823,196
  4. Step 4: Simplify right side
    216,246,568x = 200,545,614,875,654,400
  5. Step 5: Solve for x
    x = 200,545,614,875,654,400/216,246,568
  6. Step 6: Final answer
    x = 927,393,284.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.