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Finding the Third Proportional to 203,411,146 and 441,498,817

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Solution

The third proportional to 203,411,146 and 441,498,817 is: 958,262,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,411,146 : 441,498,817 = 441,498,817 : x
  2. Step 2: Convert to fraction form
    203,411,146/441,498,817 = 441,498,817/x
  3. Step 3: Cross multiply
    203,411,146x = 441,498,817 × 441,498,817
  4. Step 4: Simplify right side
    203,411,146x = 194,921,205,412,399,488
  5. Step 5: Solve for x
    x = 194,921,205,412,399,488/203,411,146
  6. Step 6: Final answer
    x = 958,262,166.28

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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.