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Finding the Third Proportional to 64,009.62 and 140,264.16

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Solution

The third proportional to 64,009.62 and 140,264.16 is: 307,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,009.62 : 140,264.16 = 140,264.16 : x
  2. Step 2: Convert to fraction form
    64,009.62/140,264.16 = 140,264.16/x
  3. Step 3: Cross multiply
    64,009.62x = 140,264.16 × 140,264.16
  4. Step 4: Simplify right side
    64,009.62x = 19,674,033,528.52
  5. Step 5: Solve for x
    x = 19,674,033,528.52/64,009.62
  6. Step 6: Final answer
    x = 307,360.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.