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Finding the Third Proportional to 101,859,667 and 220,641,219

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Solution

The third proportional to 101,859,667 and 220,641,219 is: 477,937,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,859,667 : 220,641,219 = 220,641,219 : x
  2. Step 2: Convert to fraction form
    101,859,667/220,641,219 = 220,641,219/x
  3. Step 3: Cross multiply
    101,859,667x = 220,641,219 × 220,641,219
  4. Step 4: Simplify right side
    101,859,667x = 48,682,547,521,805,960
  5. Step 5: Solve for x
    x = 48,682,547,521,805,960/101,859,667
  6. Step 6: Final answer
    x = 477,937,430.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.