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Finding the Third Proportional to 114,787,965,072 and 161,576,310,672

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Solution

The third proportional to 114,787,965,072 and 161,576,310,672 is: 227,435,900,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,787,965,072 : 161,576,310,672 = 161,576,310,672 : x
  2. Step 2: Convert to fraction form
    114,787,965,072/161,576,310,672 = 161,576,310,672/x
  3. Step 3: Cross multiply
    114,787,965,072x = 161,576,310,672 × 161,576,310,672
  4. Step 4: Simplify right side
    114,787,965,072x = 26,106,904,170,374,660,882,432
  5. Step 5: Solve for x
    x = 26,106,904,170,374,660,882,432/114,787,965,072
  6. Step 6: Final answer
    x = 227,435,900,218.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.