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Finding the Third Proportional to 90,541,932 and 196,125,539

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Solution

The third proportional to 90,541,932 and 196,125,539 is: 424,833,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,541,932 : 196,125,539 = 196,125,539 : x
  2. Step 2: Convert to fraction form
    90,541,932/196,125,539 = 196,125,539/x
  3. Step 3: Cross multiply
    90,541,932x = 196,125,539 × 196,125,539
  4. Step 4: Simplify right side
    90,541,932x = 38,465,227,048,040,520
  5. Step 5: Solve for x
    x = 38,465,227,048,040,520/90,541,932
  6. Step 6: Final answer
    x = 424,833,292.14

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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.