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Finding the Third Proportional to 82,246,788.15 and 182,882,784.23

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Solution

The third proportional to 82,246,788.15 and 182,882,784.23 is: 406,655,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,246,788.15 : 182,882,784.23 = 182,882,784.23 : x
  2. Step 2: Convert to fraction form
    82,246,788.15/182,882,784.23 = 182,882,784.23/x
  3. Step 3: Cross multiply
    82,246,788.15x = 182,882,784.23 × 182,882,784.23
  4. Step 4: Simplify right side
    82,246,788.15x = 33,446,112,769,318,792
  5. Step 5: Solve for x
    x = 33,446,112,769,318,792/82,246,788.15
  6. Step 6: Final answer
    x = 406,655,548.77

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.