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Finding the Third Proportional to 203,411,141 and 441,498,807

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Solution

The third proportional to 203,411,141 and 441,498,807 is: 958,262,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,411,141 : 441,498,807 = 441,498,807 : x
  2. Step 2: Convert to fraction form
    203,411,141/441,498,807 = 441,498,807/x
  3. Step 3: Cross multiply
    203,411,141x = 441,498,807 × 441,498,807
  4. Step 4: Simplify right side
    203,411,141x = 194,921,196,582,423,264
  5. Step 5: Solve for x
    x = 194,921,196,582,423,264/203,411,141
  6. Step 6: Final answer
    x = 958,262,146.43

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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.