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Finding the Third Proportional to 113,188,608 and 242,514,336

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Solution

The third proportional to 113,188,608 and 242,514,336 is: 519,603,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,188,608 : 242,514,336 = 242,514,336 : x
  2. Step 2: Convert to fraction form
    113,188,608/242,514,336 = 242,514,336/x
  3. Step 3: Cross multiply
    113,188,608x = 242,514,336 × 242,514,336
  4. Step 4: Simplify right side
    113,188,608x = 58,813,203,165,520,896
  5. Step 5: Solve for x
    x = 58,813,203,165,520,896/113,188,608
  6. Step 6: Final answer
    x = 519,603,555.56

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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.