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Finding the Third Proportional to 93,880.69 and 144,101.53

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Solution

The third proportional to 93,880.69 and 144,101.53 is: 221,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,880.69 : 144,101.53 = 144,101.53 : x
  2. Step 2: Convert to fraction form
    93,880.69/144,101.53 = 144,101.53/x
  3. Step 3: Cross multiply
    93,880.69x = 144,101.53 × 144,101.53
  4. Step 4: Simplify right side
    93,880.69x = 20,765,251,308.59
  5. Step 5: Solve for x
    x = 20,765,251,308.59/93,880.69
  6. Step 6: Final answer
    x = 221,187.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.