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Finding the Third Proportional to 113,188,624 and 242,514,368

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Solution

The third proportional to 113,188,624 and 242,514,368 is: 519,603,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,188,624 : 242,514,368 = 242,514,368 : x
  2. Step 2: Convert to fraction form
    113,188,624/242,514,368 = 242,514,368/x
  3. Step 3: Cross multiply
    113,188,624x = 242,514,368 × 242,514,368
  4. Step 4: Simplify right side
    113,188,624x = 58,813,218,686,439,424
  5. Step 5: Solve for x
    x = 58,813,218,686,439,424/113,188,624
  6. Step 6: Final answer
    x = 519,603,619.23

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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.