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Finding the Third Proportional to 134,087,025 and 205,029,233

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Solution

The third proportional to 134,087,025 and 205,029,233 is: 313,505,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,087,025 : 205,029,233 = 205,029,233 : x
  2. Step 2: Convert to fraction form
    134,087,025/205,029,233 = 205,029,233/x
  3. Step 3: Cross multiply
    134,087,025x = 205,029,233 × 205,029,233
  4. Step 4: Simplify right side
    134,087,025x = 42,036,986,384,568,288
  5. Step 5: Solve for x
    x = 42,036,986,384,568,288/134,087,025
  6. Step 6: Final answer
    x = 313,505,250.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.