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Finding the Third Proportional to 66,664.69 and 157,366.13

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Solution

The third proportional to 66,664.69 and 157,366.13 is: 371,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,664.69 : 157,366.13 = 157,366.13 : x
  2. Step 2: Convert to fraction form
    66,664.69/157,366.13 = 157,366.13/x
  3. Step 3: Cross multiply
    66,664.69x = 157,366.13 × 157,366.13
  4. Step 4: Simplify right side
    66,664.69x = 24,764,097,297.52
  5. Step 5: Solve for x
    x = 24,764,097,297.52/66,664.69
  6. Step 6: Final answer
    x = 371,472.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.