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Finding the Third Proportional to 82,767,892 and 195,106,954

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Solution

The third proportional to 82,767,892 and 195,106,954 is: 459,921,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,767,892 : 195,106,954 = 195,106,954 : x
  2. Step 2: Convert to fraction form
    82,767,892/195,106,954 = 195,106,954/x
  3. Step 3: Cross multiply
    82,767,892x = 195,106,954 × 195,106,954
  4. Step 4: Simplify right side
    82,767,892x = 38,066,723,499,158,112
  5. Step 5: Solve for x
    x = 38,066,723,499,158,112/82,767,892
  6. Step 6: Final answer
    x = 459,921,384.72

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.