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Finding the Third Proportional to 93,673.13 and 197,137.13

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Solution

The third proportional to 93,673.13 and 197,137.13 is: 414,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,673.13 : 197,137.13 = 197,137.13 : x
  2. Step 2: Convert to fraction form
    93,673.13/197,137.13 = 197,137.13/x
  3. Step 3: Cross multiply
    93,673.13x = 197,137.13 × 197,137.13
  4. Step 4: Simplify right side
    93,673.13x = 38,863,046,053.27
  5. Step 5: Solve for x
    x = 38,863,046,053.27/93,673.13
  6. Step 6: Final answer
    x = 414,879.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.