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Finding the Third Proportional to 103,622,381 and 223,386,463

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Solution

The third proportional to 103,622,381 and 223,386,463 is: 481,570,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,622,381 : 223,386,463 = 223,386,463 : x
  2. Step 2: Convert to fraction form
    103,622,381/223,386,463 = 223,386,463/x
  3. Step 3: Cross multiply
    103,622,381x = 223,386,463 × 223,386,463
  4. Step 4: Simplify right side
    103,622,381x = 49,901,511,851,650,368
  5. Step 5: Solve for x
    x = 49,901,511,851,650,368/103,622,381
  6. Step 6: Final answer
    x = 481,570,789.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.