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Finding the Third Proportional to 230,542,180 and 497,894,080

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Solution

The third proportional to 230,542,180 and 497,894,080 is: 1,075,284,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,542,180 : 497,894,080 = 497,894,080 : x
  2. Step 2: Convert to fraction form
    230,542,180/497,894,080 = 497,894,080/x
  3. Step 3: Cross multiply
    230,542,180x = 497,894,080 × 497,894,080
  4. Step 4: Simplify right side
    230,542,180x = 247,898,514,899,046,400
  5. Step 5: Solve for x
    x = 247,898,514,899,046,400/230,542,180
  6. Step 6: Final answer
    x = 1,075,284,856.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.