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Finding the Third Proportional to 111,176,876 and 160,387,293

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Solution

The third proportional to 111,176,876 and 160,387,293 is: 231,379,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,176,876 : 160,387,293 = 160,387,293 : x
  2. Step 2: Convert to fraction form
    111,176,876/160,387,293 = 160,387,293/x
  3. Step 3: Cross multiply
    111,176,876x = 160,387,293 × 160,387,293
  4. Step 4: Simplify right side
    111,176,876x = 25,724,083,755,867,848
  5. Step 5: Solve for x
    x = 25,724,083,755,867,848/111,176,876
  6. Step 6: Final answer
    x = 231,379,803.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.