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Finding the Third Proportional to 195,106,198.50 and 264,847,218.75

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Solution

The third proportional to 195,106,198.50 and 264,847,218.75 is: 359,517,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,106,198.50 : 264,847,218.75 = 264,847,218.75 : x
  2. Step 2: Convert to fraction form
    195,106,198.50/264,847,218.75 = 264,847,218.75/x
  3. Step 3: Cross multiply
    195,106,198.50x = 264,847,218.75 × 264,847,218.75
  4. Step 4: Simplify right side
    195,106,198.50x = 70,144,049,279,610,352
  5. Step 5: Solve for x
    x = 70,144,049,279,610,352/195,106,198.50
  6. Step 6: Final answer
    x = 359,517,277.35

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.