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Finding the Third Proportional to 64,688.63 and 139,218.75

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Solution

The third proportional to 64,688.63 and 139,218.75 is: 299,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,688.63 : 139,218.75 = 139,218.75 : x
  2. Step 2: Convert to fraction form
    64,688.63/139,218.75 = 139,218.75/x
  3. Step 3: Cross multiply
    64,688.63x = 139,218.75 × 139,218.75
  4. Step 4: Simplify right side
    64,688.63x = 19,381,860,351.56
  5. Step 5: Solve for x
    x = 19,381,860,351.56/64,688.63
  6. Step 6: Final answer
    x = 299,617.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.