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Finding the Third Proportional to 86,455,685 and 185,267,374

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Solution

The third proportional to 86,455,685 and 185,267,374 is: 397,012,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,455,685 : 185,267,374 = 185,267,374 : x
  2. Step 2: Convert to fraction form
    86,455,685/185,267,374 = 185,267,374/x
  3. Step 3: Cross multiply
    86,455,685x = 185,267,374 × 185,267,374
  4. Step 4: Simplify right side
    86,455,685x = 34,323,999,868,855,876
  5. Step 5: Solve for x
    x = 34,323,999,868,855,876/86,455,685
  6. Step 6: Final answer
    x = 397,012,641.43

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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.