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Finding the Third Proportional to 135,035.63 and 291,006.19

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Solution

The third proportional to 135,035.63 and 291,006.19 is: 627,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,035.63 : 291,006.19 = 291,006.19 : x
  2. Step 2: Convert to fraction form
    135,035.63/291,006.19 = 291,006.19/x
  3. Step 3: Cross multiply
    135,035.63x = 291,006.19 × 291,006.19
  4. Step 4: Simplify right side
    135,035.63x = 84,684,601,163.29
  5. Step 5: Solve for x
    x = 84,684,601,163.29/135,035.63
  6. Step 6: Final answer
    x = 627,127.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.