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Finding the Third Proportional to 64,280.25 and 139,616.63

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Solution

The third proportional to 64,280.25 and 139,616.63 is: 303,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,280.25 : 139,616.63 = 139,616.63 : x
  2. Step 2: Convert to fraction form
    64,280.25/139,616.63 = 139,616.63/x
  3. Step 3: Cross multiply
    64,280.25x = 139,616.63 × 139,616.63
  4. Step 4: Simplify right side
    64,280.25x = 19,492,801,976.39
  5. Step 5: Solve for x
    x = 19,492,801,976.39/64,280.25
  6. Step 6: Final answer
    x = 303,247.14

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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.