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Finding the Third Proportional to 64,086.19 and 148,356.56

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Solution

The third proportional to 64,086.19 and 148,356.56 is: 343,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,086.19 : 148,356.56 = 148,356.56 : x
  2. Step 2: Convert to fraction form
    64,086.19/148,356.56 = 148,356.56/x
  3. Step 3: Cross multiply
    64,086.19x = 148,356.56 × 148,356.56
  4. Step 4: Simplify right side
    64,086.19x = 22,009,669,636.82
  5. Step 5: Solve for x
    x = 22,009,669,636.82/64,086.19
  6. Step 6: Final answer
    x = 343,438.59

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.