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Finding the Third Proportional to 82,243,642.50 and 180,627,443.50

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Solution

The third proportional to 82,243,642.50 and 180,627,443.50 is: 396,702,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,243,642.50 : 180,627,443.50 = 180,627,443.50 : x
  2. Step 2: Convert to fraction form
    82,243,642.50/180,627,443.50 = 180,627,443.50/x
  3. Step 3: Cross multiply
    82,243,642.50x = 180,627,443.50 × 180,627,443.50
  4. Step 4: Simplify right side
    82,243,642.50x = 32,626,273,345,345,692
  5. Step 5: Solve for x
    x = 32,626,273,345,345,692/82,243,642.50
  6. Step 6: Final answer
    x = 396,702,679.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.