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Finding the Third Proportional to 103,863,620 and 224,962,713

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Solution

The third proportional to 103,863,620 and 224,962,713 is: 487,256,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,863,620 : 224,962,713 = 224,962,713 : x
  2. Step 2: Convert to fraction form
    103,863,620/224,962,713 = 224,962,713/x
  3. Step 3: Cross multiply
    103,863,620x = 224,962,713 × 224,962,713
  4. Step 4: Simplify right side
    103,863,620x = 50,608,222,240,320,368
  5. Step 5: Solve for x
    x = 50,608,222,240,320,368/103,863,620
  6. Step 6: Final answer
    x = 487,256,483.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.