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Finding the Third Proportional to 85,970,514 and 188,830,275

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Solution

The third proportional to 85,970,514 and 188,830,275 is: 414,757,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,970,514 : 188,830,275 = 188,830,275 : x
  2. Step 2: Convert to fraction form
    85,970,514/188,830,275 = 188,830,275/x
  3. Step 3: Cross multiply
    85,970,514x = 188,830,275 × 188,830,275
  4. Step 4: Simplify right side
    85,970,514x = 35,656,872,756,575,624
  5. Step 5: Solve for x
    x = 35,656,872,756,575,624/85,970,514
  6. Step 6: Final answer
    x = 414,757,003.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.