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Finding the Third Proportional to 86,315,384 and 184,942,470

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Solution

The third proportional to 86,315,384 and 184,942,470 is: 396,264,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,315,384 : 184,942,470 = 184,942,470 : x
  2. Step 2: Convert to fraction form
    86,315,384/184,942,470 = 184,942,470/x
  3. Step 3: Cross multiply
    86,315,384x = 184,942,470 × 184,942,470
  4. Step 4: Simplify right side
    86,315,384x = 34,203,717,209,700,900
  5. Step 5: Solve for x
    x = 34,203,717,209,700,900/86,315,384
  6. Step 6: Final answer
    x = 396,264,438.91

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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.