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Finding the Third Proportional to 173,541,150 and 230,314,821

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Solution

The third proportional to 173,541,150 and 230,314,821 is: 305,661,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,541,150 : 230,314,821 = 230,314,821 : x
  2. Step 2: Convert to fraction form
    173,541,150/230,314,821 = 230,314,821/x
  3. Step 3: Cross multiply
    173,541,150x = 230,314,821 × 230,314,821
  4. Step 4: Simplify right side
    173,541,150x = 53,044,916,772,262,040
  5. Step 5: Solve for x
    x = 53,044,916,772,262,040/173,541,150
  6. Step 6: Final answer
    x = 305,661,895.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.