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Finding the Third Proportional to 151,772,778 and 227,243,151

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Solution

The third proportional to 151,772,778 and 227,243,151 is: 340,241,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,772,778 : 227,243,151 = 227,243,151 : x
  2. Step 2: Convert to fraction form
    151,772,778/227,243,151 = 227,243,151/x
  3. Step 3: Cross multiply
    151,772,778x = 227,243,151 × 227,243,151
  4. Step 4: Simplify right side
    151,772,778x = 51,639,449,676,408,800
  5. Step 5: Solve for x
    x = 51,639,449,676,408,800/151,772,778
  6. Step 6: Final answer
    x = 340,241,842.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.