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Finding the Third Proportional to 202,052,912 and 295,521,086

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Solution

The third proportional to 202,052,912 and 295,521,086 is: 432,226,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,052,912 : 295,521,086 = 295,521,086 : x
  2. Step 2: Convert to fraction form
    202,052,912/295,521,086 = 295,521,086/x
  3. Step 3: Cross multiply
    202,052,912x = 295,521,086 × 295,521,086
  4. Step 4: Simplify right side
    202,052,912x = 87,332,712,270,619,392
  5. Step 5: Solve for x
    x = 87,332,712,270,619,392/202,052,912
  6. Step 6: Final answer
    x = 432,226,941.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.