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Finding the Third Proportional to 218,436,564 and 469,290,144

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Solution

The third proportional to 218,436,564 and 469,290,144 is: 1,008,225,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,436,564 : 469,290,144 = 469,290,144 : x
  2. Step 2: Convert to fraction form
    218,436,564/469,290,144 = 469,290,144/x
  3. Step 3: Cross multiply
    218,436,564x = 469,290,144 × 469,290,144
  4. Step 4: Simplify right side
    218,436,564x = 220,233,239,255,540,736
  5. Step 5: Solve for x
    x = 220,233,239,255,540,736/218,436,564
  6. Step 6: Final answer
    x = 1,008,225,158.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.