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Finding the Third Proportional to 120,097,245 and 262,216,125

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Solution

The third proportional to 120,097,245 and 262,216,125 is: 572,513,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,097,245 : 262,216,125 = 262,216,125 : x
  2. Step 2: Convert to fraction form
    120,097,245/262,216,125 = 262,216,125/x
  3. Step 3: Cross multiply
    120,097,245x = 262,216,125 × 262,216,125
  4. Step 4: Simplify right side
    120,097,245x = 68,757,296,210,015,624
  5. Step 5: Solve for x
    x = 68,757,296,210,015,624/120,097,245
  6. Step 6: Final answer
    x = 572,513,517.77

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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.