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Finding the Third Proportional to 117,139,504.50 and 171,397,260.38

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Solution

The third proportional to 117,139,504.50 and 171,397,260.38 is: 250,786,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,139,504.50 : 171,397,260.38 = 171,397,260.38 : x
  2. Step 2: Convert to fraction form
    117,139,504.50/171,397,260.38 = 171,397,260.38/x
  3. Step 3: Cross multiply
    117,139,504.50x = 171,397,260.38 × 171,397,260.38
  4. Step 4: Simplify right side
    117,139,504.50x = 29,377,020,864,055,544
  5. Step 5: Solve for x
    x = 29,377,020,864,055,544/117,139,504.50
  6. Step 6: Final answer
    x = 250,786,623.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.