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Finding the Third Proportional to 93,970.13 and 197,166.66

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Solution

The third proportional to 93,970.13 and 197,166.66 is: 413,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,970.13 : 197,166.66 = 197,166.66 : x
  2. Step 2: Convert to fraction form
    93,970.13/197,166.66 = 197,166.66/x
  3. Step 3: Cross multiply
    93,970.13x = 197,166.66 × 197,166.66
  4. Step 4: Simplify right side
    93,970.13x = 38,874,690,336.81
  5. Step 5: Solve for x
    x = 38,874,690,336.81/93,970.13
  6. Step 6: Final answer
    x = 413,692.01

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Why These Related Problems?

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