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Finding the Third Proportional to 202,221,871 and 435,682,561

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Solution

The third proportional to 202,221,871 and 435,682,561 is: 938,668,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,221,871 : 435,682,561 = 435,682,561 : x
  2. Step 2: Convert to fraction form
    202,221,871/435,682,561 = 435,682,561/x
  3. Step 3: Cross multiply
    202,221,871x = 435,682,561 × 435,682,561
  4. Step 4: Simplify right side
    202,221,871x = 189,819,293,959,518,720
  5. Step 5: Solve for x
    x = 189,819,293,959,518,720/202,221,871
  6. Step 6: Final answer
    x = 938,668,468.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.