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Finding the Third Proportional to 202,052,780 and 295,520,896

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Solution

The third proportional to 202,052,780 and 295,520,896 is: 432,226,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,052,780 : 295,520,896 = 295,520,896 : x
  2. Step 2: Convert to fraction form
    202,052,780/295,520,896 = 295,520,896/x
  3. Step 3: Cross multiply
    202,052,780x = 295,520,896 × 295,520,896
  4. Step 4: Simplify right side
    202,052,780x = 87,332,599,972,642,816
  5. Step 5: Solve for x
    x = 87,332,599,972,642,816/202,052,780
  6. Step 6: Final answer
    x = 432,226,668.56

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