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Finding the Third Proportional to 131,016,194 and 280,437,048

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Solution

The third proportional to 131,016,194 and 280,437,048 is: 600,268,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,016,194 : 280,437,048 = 280,437,048 : x
  2. Step 2: Convert to fraction form
    131,016,194/280,437,048 = 280,437,048/x
  3. Step 3: Cross multiply
    131,016,194x = 280,437,048 × 280,437,048
  4. Step 4: Simplify right side
    131,016,194x = 78,644,937,890,954,304
  5. Step 5: Solve for x
    x = 78,644,937,890,954,304/131,016,194
  6. Step 6: Final answer
    x = 600,268,833.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.