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Finding the Third Proportional to 93,699.28 and 197,855.16

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Solution

The third proportional to 93,699.28 and 197,855.16 is: 417,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,699.28 : 197,855.16 = 197,855.16 : x
  2. Step 2: Convert to fraction form
    93,699.28/197,855.16 = 197,855.16/x
  3. Step 3: Cross multiply
    93,699.28x = 197,855.16 × 197,855.16
  4. Step 4: Simplify right side
    93,699.28x = 39,146,662,854.71
  5. Step 5: Solve for x
    x = 39,146,662,854.71/93,699.28
  6. Step 6: Final answer
    x = 417,790.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.