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Finding the Third Proportional to 122,860,216 and 268,861,808

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Solution

The third proportional to 122,860,216 and 268,861,808 is: 588,365,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,860,216 : 268,861,808 = 268,861,808 : x
  2. Step 2: Convert to fraction form
    122,860,216/268,861,808 = 268,861,808/x
  3. Step 3: Cross multiply
    122,860,216x = 268,861,808 × 268,861,808
  4. Step 4: Simplify right side
    122,860,216x = 72,286,671,801,028,864
  5. Step 5: Solve for x
    x = 72,286,671,801,028,864/122,860,216
  6. Step 6: Final answer
    x = 588,365,169.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.