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Finding the Third Proportional to 66,350.81 and 144,363.94

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Solution

The third proportional to 66,350.81 and 144,363.94 is: 314,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,350.81 : 144,363.94 = 144,363.94 : x
  2. Step 2: Convert to fraction form
    66,350.81/144,363.94 = 144,363.94/x
  3. Step 3: Cross multiply
    66,350.81x = 144,363.94 × 144,363.94
  4. Step 4: Simplify right side
    66,350.81x = 20,840,946,450.50
  5. Step 5: Solve for x
    x = 20,840,946,450.50/66,350.81
  6. Step 6: Final answer
    x = 314,102.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.