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Finding the Third Proportional to 93,043.69 and 197,007.19

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Solution

The third proportional to 93,043.69 and 197,007.19 is: 417,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,043.69 : 197,007.19 = 197,007.19 : x
  2. Step 2: Convert to fraction form
    93,043.69/197,007.19 = 197,007.19/x
  3. Step 3: Cross multiply
    93,043.69x = 197,007.19 × 197,007.19
  4. Step 4: Simplify right side
    93,043.69x = 38,811,831,926.66
  5. Step 5: Solve for x
    x = 38,811,831,926.66/93,043.69
  6. Step 6: Final answer
    x = 417,135.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.