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Finding the Third Proportional to 202,221,994 and 435,682,858

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Solution

The third proportional to 202,221,994 and 435,682,858 is: 938,669,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,221,994 : 435,682,858 = 435,682,858 : x
  2. Step 2: Convert to fraction form
    202,221,994/435,682,858 = 435,682,858/x
  3. Step 3: Cross multiply
    202,221,994x = 435,682,858 × 435,682,858
  4. Step 4: Simplify right side
    202,221,994x = 189,819,552,755,048,160
  5. Step 5: Solve for x
    x = 189,819,552,755,048,160/202,221,994
  6. Step 6: Final answer
    x = 938,669,177.37

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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.