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Finding the Third Proportional to 82,557,193.50 and 192,784,981.50

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Solution

The third proportional to 82,557,193.50 and 192,784,981.50 is: 450,185,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,557,193.50 : 192,784,981.50 = 192,784,981.50 : x
  2. Step 2: Convert to fraction form
    82,557,193.50/192,784,981.50 = 192,784,981.50/x
  3. Step 3: Cross multiply
    82,557,193.50x = 192,784,981.50 × 192,784,981.50
  4. Step 4: Simplify right side
    82,557,193.50x = 37,166,049,091,955,344
  5. Step 5: Solve for x
    x = 37,166,049,091,955,344/82,557,193.50
  6. Step 6: Final answer
    x = 450,185,471.63

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.