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Finding the Third Proportional to 119,367,180 and 189,812,245

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Solution

The third proportional to 119,367,180 and 189,812,245 is: 301,830,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,367,180 : 189,812,245 = 189,812,245 : x
  2. Step 2: Convert to fraction form
    119,367,180/189,812,245 = 189,812,245/x
  3. Step 3: Cross multiply
    119,367,180x = 189,812,245 × 189,812,245
  4. Step 4: Simplify right side
    119,367,180x = 36,028,688,351,940,024
  5. Step 5: Solve for x
    x = 36,028,688,351,940,024/119,367,180
  6. Step 6: Final answer
    x = 301,830,774.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.