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Finding the Third Proportional to 122,003,368 and 268,217,464

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Solution

The third proportional to 122,003,368 and 268,217,464 is: 589,660,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,003,368 : 268,217,464 = 268,217,464 : x
  2. Step 2: Convert to fraction form
    122,003,368/268,217,464 = 268,217,464/x
  3. Step 3: Cross multiply
    122,003,368x = 268,217,464 × 268,217,464
  4. Step 4: Simplify right side
    122,003,368x = 71,940,607,994,591,296
  5. Step 5: Solve for x
    x = 71,940,607,994,591,296/122,003,368
  6. Step 6: Final answer
    x = 589,660,836.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.