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Finding the Third Proportional to 86,455,686 and 185,267,376

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Solution

The third proportional to 86,455,686 and 185,267,376 is: 397,012,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,455,686 : 185,267,376 = 185,267,376 : x
  2. Step 2: Convert to fraction form
    86,455,686/185,267,376 = 185,267,376/x
  3. Step 3: Cross multiply
    86,455,686x = 185,267,376 × 185,267,376
  4. Step 4: Simplify right side
    86,455,686x = 34,324,000,609,925,376
  5. Step 5: Solve for x
    x = 34,324,000,609,925,376/86,455,686
  6. Step 6: Final answer
    x = 397,012,645.41

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