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Finding the Third Proportional to 204,264,562 and 437,222,552

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Solution

The third proportional to 204,264,562 and 437,222,552 is: 935,862,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,264,562 : 437,222,552 = 437,222,552 : x
  2. Step 2: Convert to fraction form
    204,264,562/437,222,552 = 437,222,552/x
  3. Step 3: Cross multiply
    204,264,562x = 437,222,552 × 437,222,552
  4. Step 4: Simplify right side
    204,264,562x = 191,163,559,977,392,704
  5. Step 5: Solve for x
    x = 191,163,559,977,392,704/204,264,562
  6. Step 6: Final answer
    x = 935,862,579.91

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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.