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Finding the Third Proportional to 202,052,778 and 295,520,895

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Solution

The third proportional to 202,052,778 and 295,520,895 is: 432,226,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,052,778 : 295,520,895 = 295,520,895 : x
  2. Step 2: Convert to fraction form
    202,052,778/295,520,895 = 295,520,895/x
  3. Step 3: Cross multiply
    202,052,778x = 295,520,895 × 295,520,895
  4. Step 4: Simplify right side
    202,052,778x = 87,332,599,381,601,024
  5. Step 5: Solve for x
    x = 87,332,599,381,601,024/202,052,778
  6. Step 6: Final answer
    x = 432,226,669.91

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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.