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Finding the Third Proportional to 64,069.31 and 140,203.13

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Solution

The third proportional to 64,069.31 and 140,203.13 is: 306,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,069.31 : 140,203.13 = 140,203.13 : x
  2. Step 2: Convert to fraction form
    64,069.31/140,203.13 = 140,203.13/x
  3. Step 3: Cross multiply
    64,069.31x = 140,203.13 × 140,203.13
  4. Step 4: Simplify right side
    64,069.31x = 19,656,916,259.77
  5. Step 5: Solve for x
    x = 19,656,916,259.77/64,069.31
  6. Step 6: Final answer
    x = 306,807.04

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Why These Related Problems?

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