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Finding the Third Proportional to 108,976,736 and 232,758,976

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Solution

The third proportional to 108,976,736 and 232,758,976 is: 497,140,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,976,736 : 232,758,976 = 232,758,976 : x
  2. Step 2: Convert to fraction form
    108,976,736/232,758,976 = 232,758,976/x
  3. Step 3: Cross multiply
    108,976,736x = 232,758,976 × 232,758,976
  4. Step 4: Simplify right side
    108,976,736x = 54,176,740,908,568,576
  5. Step 5: Solve for x
    x = 54,176,740,908,568,576/108,976,736
  6. Step 6: Final answer
    x = 497,140,425.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.