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Finding the Third Proportional to 250,913,477.25 and 543,521,016

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Solution

The third proportional to 250,913,477.25 and 543,521,016 is: 1,177,358,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,913,477.25 : 543,521,016 = 543,521,016 : x
  2. Step 2: Convert to fraction form
    250,913,477.25/543,521,016 = 543,521,016/x
  3. Step 3: Cross multiply
    250,913,477.25x = 543,521,016 × 543,521,016
  4. Step 4: Simplify right side
    250,913,477.25x = 295,415,094,833,672,256
  5. Step 5: Solve for x
    x = 295,415,094,833,672,256/250,913,477.25
  6. Step 6: Final answer
    x = 1,177,358,418.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.