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Finding the Third Proportional to 64,168,902 and 138,565,368

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Solution

The third proportional to 64,168,902 and 138,565,368 is: 299,215,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,168,902 : 138,565,368 = 138,565,368 : x
  2. Step 2: Convert to fraction form
    64,168,902/138,565,368 = 138,565,368/x
  3. Step 3: Cross multiply
    64,168,902x = 138,565,368 × 138,565,368
  4. Step 4: Simplify right side
    64,168,902x = 19,200,361,208,975,424
  5. Step 5: Solve for x
    x = 19,200,361,208,975,424/64,168,902
  6. Step 6: Final answer
    x = 299,215,984.85

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