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Finding the Third Proportional to 86,291,778 and 185,390,625

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Solution

The third proportional to 86,291,778 and 185,390,625 is: 398,296,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,291,778 : 185,390,625 = 185,390,625 : x
  2. Step 2: Convert to fraction form
    86,291,778/185,390,625 = 185,390,625/x
  3. Step 3: Cross multiply
    86,291,778x = 185,390,625 × 185,390,625
  4. Step 4: Simplify right side
    86,291,778x = 34,369,683,837,890,624
  5. Step 5: Solve for x
    x = 34,369,683,837,890,624/86,291,778
  6. Step 6: Final answer
    x = 398,296,160.24

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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.