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Finding the Third Proportional to 86,405,454 and 188,950,806

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Solution

The third proportional to 86,405,454 and 188,950,806 is: 413,196,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,405,454 : 188,950,806 = 188,950,806 : x
  2. Step 2: Convert to fraction form
    86,405,454/188,950,806 = 188,950,806/x
  3. Step 3: Cross multiply
    86,405,454x = 188,950,806 × 188,950,806
  4. Step 4: Simplify right side
    86,405,454x = 35,702,407,088,049,636
  5. Step 5: Solve for x
    x = 35,702,407,088,049,636/86,405,454
  6. Step 6: Final answer
    x = 413,196,221.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.