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Finding the Third Proportional to 82,938,024.56 and 179,676,908.44

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Solution

The third proportional to 82,938,024.56 and 179,676,908.44 is: 389,251,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,938,024.56 : 179,676,908.44 = 179,676,908.44 : x
  2. Step 2: Convert to fraction form
    82,938,024.56/179,676,908.44 = 179,676,908.44/x
  3. Step 3: Cross multiply
    82,938,024.56x = 179,676,908.44 × 179,676,908.44
  4. Step 4: Simplify right side
    82,938,024.56x = 32,283,791,425,657,760
  5. Step 5: Solve for x
    x = 32,283,791,425,657,760/82,938,024.56
  6. Step 6: Final answer
    x = 389,251,993.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.