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Finding the Third Proportional to 94,526.44 and 197,816.06

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Solution

The third proportional to 94,526.44 and 197,816.06 is: 413,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,526.44 : 197,816.06 = 197,816.06 : x
  2. Step 2: Convert to fraction form
    94,526.44/197,816.06 = 197,816.06/x
  3. Step 3: Cross multiply
    94,526.44x = 197,816.06 × 197,816.06
  4. Step 4: Simplify right side
    94,526.44x = 39,131,194,583.00
  5. Step 5: Solve for x
    x = 39,131,194,583.00/94,526.44
  6. Step 6: Final answer
    x = 413,970.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.