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Finding the Third Proportional to 235,016,720 and 489,108,112

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Solution

The third proportional to 235,016,720 and 489,108,112 is: 1,017,913,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,016,720 : 489,108,112 = 489,108,112 : x
  2. Step 2: Convert to fraction form
    235,016,720/489,108,112 = 489,108,112/x
  3. Step 3: Cross multiply
    235,016,720x = 489,108,112 × 489,108,112
  4. Step 4: Simplify right side
    235,016,720x = 239,226,745,224,204,544
  5. Step 5: Solve for x
    x = 239,226,745,224,204,544/235,016,720
  6. Step 6: Final answer
    x = 1,017,913,726.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.