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Finding the Third Proportional to 85,879,406 and 185,376,986

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Solution

The third proportional to 85,879,406 and 185,376,986 is: 400,149,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,879,406 : 185,376,986 = 185,376,986 : x
  2. Step 2: Convert to fraction form
    85,879,406/185,376,986 = 185,376,986/x
  3. Step 3: Cross multiply
    85,879,406x = 185,376,986 × 185,376,986
  4. Step 4: Simplify right side
    85,879,406x = 34,364,626,938,444,196
  5. Step 5: Solve for x
    x = 34,364,626,938,444,196/85,879,406
  6. Step 6: Final answer
    x = 400,149,797.71

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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.