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Finding the Third Proportional to 113,188,628 and 242,514,376

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Solution

The third proportional to 113,188,628 and 242,514,376 is: 519,603,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,188,628 : 242,514,376 = 242,514,376 : x
  2. Step 2: Convert to fraction form
    113,188,628/242,514,376 = 242,514,376/x
  3. Step 3: Cross multiply
    113,188,628x = 242,514,376 × 242,514,376
  4. Step 4: Simplify right side
    113,188,628x = 58,813,222,566,669,376
  5. Step 5: Solve for x
    x = 58,813,222,566,669,376/113,188,628
  6. Step 6: Final answer
    x = 519,603,635.15

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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.