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Finding the Third Proportional to 101,082,148 and 144,448,730.75

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Solution

The third proportional to 101,082,148 and 144,448,730.75 is: 206,420,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,082,148 : 144,448,730.75 = 144,448,730.75 : x
  2. Step 2: Convert to fraction form
    101,082,148/144,448,730.75 = 144,448,730.75/x
  3. Step 3: Cross multiply
    101,082,148x = 144,448,730.75 × 144,448,730.75
  4. Step 4: Simplify right side
    101,082,148x = 20,865,435,815,285,996
  5. Step 5: Solve for x
    x = 20,865,435,815,285,996/101,082,148
  6. Step 6: Final answer
    x = 206,420,581.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.