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Finding the Third Proportional to 86,314,877.25 and 184,941,471

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Solution

The third proportional to 86,314,877.25 and 184,941,471 is: 396,262,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,314,877.25 : 184,941,471 = 184,941,471 : x
  2. Step 2: Convert to fraction form
    86,314,877.25/184,941,471 = 184,941,471/x
  3. Step 3: Cross multiply
    86,314,877.25x = 184,941,471 × 184,941,471
  4. Step 4: Simplify right side
    86,314,877.25x = 34,203,347,695,643,840
  5. Step 5: Solve for x
    x = 34,203,347,695,643,840/86,314,877.25
  6. Step 6: Final answer
    x = 396,262,484.35

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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.