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Finding the Third Proportional to 137,755,286 and 302,380,036

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Solution

The third proportional to 137,755,286 and 302,380,036 is: 663,739,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,755,286 : 302,380,036 = 302,380,036 : x
  2. Step 2: Convert to fraction form
    137,755,286/302,380,036 = 302,380,036/x
  3. Step 3: Cross multiply
    137,755,286x = 302,380,036 × 302,380,036
  4. Step 4: Simplify right side
    137,755,286x = 91,433,686,171,361,296
  5. Step 5: Solve for x
    x = 91,433,686,171,361,296/137,755,286
  6. Step 6: Final answer
    x = 663,739,946.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.