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Finding the Third Proportional to 64,168,944 and 138,565,452

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Solution

The third proportional to 64,168,944 and 138,565,452 is: 299,216,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,168,944 : 138,565,452 = 138,565,452 : x
  2. Step 2: Convert to fraction form
    64,168,944/138,565,452 = 138,565,452/x
  3. Step 3: Cross multiply
    64,168,944x = 138,565,452 × 138,565,452
  4. Step 4: Simplify right side
    64,168,944x = 19,200,384,487,964,304
  5. Step 5: Solve for x
    x = 19,200,384,487,964,304/64,168,944
  6. Step 6: Final answer
    x = 299,216,151.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.