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Finding the Third Proportional to 202,221,992 and 435,682,854

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Solution

The third proportional to 202,221,992 and 435,682,854 is: 938,669,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,221,992 : 435,682,854 = 435,682,854 : x
  2. Step 2: Convert to fraction form
    202,221,992/435,682,854 = 435,682,854/x
  3. Step 3: Cross multiply
    202,221,992x = 435,682,854 × 435,682,854
  4. Step 4: Simplify right side
    202,221,992x = 189,819,549,269,585,312
  5. Step 5: Solve for x
    x = 189,819,549,269,585,312/202,221,992
  6. Step 6: Final answer
    x = 938,669,169.42

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Why These Related Problems?

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