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Finding the Third Proportional to 103,622,410 and 223,386,517

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Solution

The third proportional to 103,622,410 and 223,386,517 is: 481,570,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,622,410 : 223,386,517 = 223,386,517 : x
  2. Step 2: Convert to fraction form
    103,622,410/223,386,517 = 223,386,517/x
  3. Step 3: Cross multiply
    103,622,410x = 223,386,517 × 223,386,517
  4. Step 4: Simplify right side
    103,622,410x = 49,901,535,977,391,288
  5. Step 5: Solve for x
    x = 49,901,535,977,391,288/103,622,410
  6. Step 6: Final answer
    x = 481,570,887.78

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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.