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Finding the Third Proportional to 93,965.06 and 197,156.53

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Solution

The third proportional to 93,965.06 and 197,156.53 is: 413,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,965.06 : 197,156.53 = 197,156.53 : x
  2. Step 2: Convert to fraction form
    93,965.06/197,156.53 = 197,156.53/x
  3. Step 3: Cross multiply
    93,965.06x = 197,156.53 × 197,156.53
  4. Step 4: Simplify right side
    93,965.06x = 38,870,697,814.53
  5. Step 5: Solve for x
    x = 38,870,697,814.53/93,965.06
  6. Step 6: Final answer
    x = 413,671.81

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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.