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Finding the Third Proportional to 64,063.41 and 140,193.28

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Solution

The third proportional to 64,063.41 and 140,193.28 is: 306,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,063.41 : 140,193.28 = 140,193.28 : x
  2. Step 2: Convert to fraction form
    64,063.41/140,193.28 = 140,193.28/x
  3. Step 3: Cross multiply
    64,063.41x = 140,193.28 × 140,193.28
  4. Step 4: Simplify right side
    64,063.41x = 19,654,156,107.64
  5. Step 5: Solve for x
    x = 19,654,156,107.64/64,063.41
  6. Step 6: Final answer
    x = 306,792.24

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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.