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Finding the Third Proportional to 136,215,464 and 302,664,016

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Solution

The third proportional to 136,215,464 and 302,664,016 is: 672,504,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,215,464 : 302,664,016 = 302,664,016 : x
  2. Step 2: Convert to fraction form
    136,215,464/302,664,016 = 302,664,016/x
  3. Step 3: Cross multiply
    136,215,464x = 302,664,016 × 302,664,016
  4. Step 4: Simplify right side
    136,215,464x = 91,605,506,581,248,256
  5. Step 5: Solve for x
    x = 91,605,506,581,248,256/136,215,464
  6. Step 6: Final answer
    x = 672,504,456.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.