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Finding the Third Proportional to 203,411,164 and 441,498,853

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Solution

The third proportional to 203,411,164 and 441,498,853 is: 958,262,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,411,164 : 441,498,853 = 441,498,853 : x
  2. Step 2: Convert to fraction form
    203,411,164/441,498,853 = 441,498,853/x
  3. Step 3: Cross multiply
    203,411,164x = 441,498,853 × 441,498,853
  4. Step 4: Simplify right side
    203,411,164x = 194,921,237,200,315,616
  5. Step 5: Solve for x
    x = 194,921,237,200,315,616/203,411,164
  6. Step 6: Final answer
    x = 958,262,237.76

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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.