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Finding the Third Proportional to 88,105,743 and 188,965,746

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Solution

The third proportional to 88,105,743 and 188,965,746 is: 405,286,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,105,743 : 188,965,746 = 188,965,746 : x
  2. Step 2: Convert to fraction form
    88,105,743/188,965,746 = 188,965,746/x
  3. Step 3: Cross multiply
    88,105,743x = 188,965,746 × 188,965,746
  4. Step 4: Simplify right side
    88,105,743x = 35,708,053,161,336,516
  5. Step 5: Solve for x
    x = 35,708,053,161,336,516/88,105,743
  6. Step 6: Final answer
    x = 405,286,329.19

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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.