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Finding the Third Proportional to 86,291,806 and 185,390,682

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Solution

The third proportional to 86,291,806 and 185,390,682 is: 398,296,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,291,806 : 185,390,682 = 185,390,682 : x
  2. Step 2: Convert to fraction form
    86,291,806/185,390,682 = 185,390,682/x
  3. Step 3: Cross multiply
    86,291,806x = 185,390,682 × 185,390,682
  4. Step 4: Simplify right side
    86,291,806x = 34,369,704,972,425,124
  5. Step 5: Solve for x
    x = 34,369,704,972,425,124/86,291,806
  6. Step 6: Final answer
    x = 398,296,275.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.