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Finding the Third Proportional to 105,862,934 and 229,313,244

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Solution

The third proportional to 105,862,934 and 229,313,244 is: 496,723,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,862,934 : 229,313,244 = 229,313,244 : x
  2. Step 2: Convert to fraction form
    105,862,934/229,313,244 = 229,313,244/x
  3. Step 3: Cross multiply
    105,862,934x = 229,313,244 × 229,313,244
  4. Step 4: Simplify right side
    105,862,934x = 52,584,563,873,803,536
  5. Step 5: Solve for x
    x = 52,584,563,873,803,536/105,862,934
  6. Step 6: Final answer
    x = 496,723,091.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.