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Finding the Third Proportional to 51,950,821 and 112,944,217

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Solution

The third proportional to 51,950,821 and 112,944,217 is: 245,547,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,950,821 : 112,944,217 = 112,944,217 : x
  2. Step 2: Convert to fraction form
    51,950,821/112,944,217 = 112,944,217/x
  3. Step 3: Cross multiply
    51,950,821x = 112,944,217 × 112,944,217
  4. Step 4: Simplify right side
    51,950,821x = 12,756,396,153,743,088
  5. Step 5: Solve for x
    x = 12,756,396,153,743,088/51,950,821
  6. Step 6: Final answer
    x = 245,547,537.23

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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.