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Finding the Third Proportional to 113,823,944 and 244,911,382

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Solution

The third proportional to 113,823,944 and 244,911,382 is: 526,968,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,823,944 : 244,911,382 = 244,911,382 : x
  2. Step 2: Convert to fraction form
    113,823,944/244,911,382 = 244,911,382/x
  3. Step 3: Cross multiply
    113,823,944x = 244,911,382 × 244,911,382
  4. Step 4: Simplify right side
    113,823,944x = 59,981,585,033,149,920
  5. Step 5: Solve for x
    x = 59,981,585,033,149,920/113,823,944
  6. Step 6: Final answer
    x = 526,968,078.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.