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Finding the Third Proportional to 239,305,232 and 520,539,016

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Solution

The third proportional to 239,305,232 and 520,539,016 is: 1,132,281,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,305,232 : 520,539,016 = 520,539,016 : x
  2. Step 2: Convert to fraction form
    239,305,232/520,539,016 = 520,539,016/x
  3. Step 3: Cross multiply
    239,305,232x = 520,539,016 × 520,539,016
  4. Step 4: Simplify right side
    239,305,232x = 270,960,867,178,248,256
  5. Step 5: Solve for x
    x = 270,960,867,178,248,256/239,305,232
  6. Step 6: Final answer
    x = 1,132,281,416.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.