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Finding the Third Proportional to 93,498.75 and 192,511.13

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Solution

The third proportional to 93,498.75 and 192,511.13 is: 396,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,498.75 : 192,511.13 = 192,511.13 : x
  2. Step 2: Convert to fraction form
    93,498.75/192,511.13 = 192,511.13/x
  3. Step 3: Cross multiply
    93,498.75x = 192,511.13 × 192,511.13
  4. Step 4: Simplify right side
    93,498.75x = 37,060,533,248.77
  5. Step 5: Solve for x
    x = 37,060,533,248.77/93,498.75
  6. Step 6: Final answer
    x = 396,374.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.