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Finding the Third Proportional to 86,314,934 and 184,941,580

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Solution

The third proportional to 86,314,934 and 184,941,580 is: 396,262,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,314,934 : 184,941,580 = 184,941,580 : x
  2. Step 2: Convert to fraction form
    86,314,934/184,941,580 = 184,941,580/x
  3. Step 3: Cross multiply
    86,314,934x = 184,941,580 × 184,941,580
  4. Step 4: Simplify right side
    86,314,934x = 34,203,388,012,896,400
  5. Step 5: Solve for x
    x = 34,203,388,012,896,400/86,314,934
  6. Step 6: Final answer
    x = 396,262,690.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.