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Finding the Third Proportional to 68,441,827 and 152,186,170

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Solution

The third proportional to 68,441,827 and 152,186,170 is: 338,398,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,441,827 : 152,186,170 = 152,186,170 : x
  2. Step 2: Convert to fraction form
    68,441,827/152,186,170 = 152,186,170/x
  3. Step 3: Cross multiply
    68,441,827x = 152,186,170 × 152,186,170
  4. Step 4: Simplify right side
    68,441,827x = 23,160,630,339,268,900
  5. Step 5: Solve for x
    x = 23,160,630,339,268,900/68,441,827
  6. Step 6: Final answer
    x = 338,398,773.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.