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Finding the Third Proportional to 113,188,625 and 242,514,370

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Solution

The third proportional to 113,188,625 and 242,514,370 is: 519,603,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,188,625 : 242,514,370 = 242,514,370 : x
  2. Step 2: Convert to fraction form
    113,188,625/242,514,370 = 242,514,370/x
  3. Step 3: Cross multiply
    113,188,625x = 242,514,370 × 242,514,370
  4. Step 4: Simplify right side
    113,188,625x = 58,813,219,656,496,896
  5. Step 5: Solve for x
    x = 58,813,219,656,496,896/113,188,625
  6. Step 6: Final answer
    x = 519,603,623.21

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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.