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Finding the Third Proportional to 213,240,754 and 327,620,853

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Solution

The third proportional to 213,240,754 and 327,620,853 is: 503,353,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,240,754 : 327,620,853 = 327,620,853 : x
  2. Step 2: Convert to fraction form
    213,240,754/327,620,853 = 327,620,853/x
  3. Step 3: Cross multiply
    213,240,754x = 327,620,853 × 327,620,853
  4. Step 4: Simplify right side
    213,240,754x = 107,335,423,320,447,616
  5. Step 5: Solve for x
    x = 107,335,423,320,447,616/213,240,754
  6. Step 6: Final answer
    x = 503,353,234.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.