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Finding the Third Proportional to 192,166,079,549.25 and 413,252,493,261

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Solution

The third proportional to 192,166,079,549.25 and 413,252,493,261 is: 888,698,065,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,166,079,549.25 : 413,252,493,261 = 413,252,493,261 : x
  2. Step 2: Convert to fraction form
    192,166,079,549.25/413,252,493,261 = 413,252,493,261/x
  3. Step 3: Cross multiply
    192,166,079,549.25x = 413,252,493,261 × 413,252,493,261
  4. Step 4: Simplify right side
    192,166,079,549.25x = 170,777,623,186,432,856,162,304
  5. Step 5: Solve for x
    x = 170,777,623,186,432,856,162,304/192,166,079,549.25
  6. Step 6: Final answer
    x = 888,698,065,688.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.