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Finding the Third Proportional to 140,860,987 and 194,643,261

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Solution

The third proportional to 140,860,987 and 194,643,261 is: 268,960,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,860,987 : 194,643,261 = 194,643,261 : x
  2. Step 2: Convert to fraction form
    140,860,987/194,643,261 = 194,643,261/x
  3. Step 3: Cross multiply
    140,860,987x = 194,643,261 × 194,643,261
  4. Step 4: Simplify right side
    140,860,987x = 37,885,999,052,714,120
  5. Step 5: Solve for x
    x = 37,885,999,052,714,120/140,860,987
  6. Step 6: Final answer
    x = 268,960,198.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.