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Finding the Third Proportional to 91,504 and 197,504

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Solution

The third proportional to 91,504 and 197,504 is: 426,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,504 : 197,504 = 197,504 : x
  2. Step 2: Convert to fraction form
    91,504/197,504 = 197,504/x
  3. Step 3: Cross multiply
    91,504x = 197,504 × 197,504
  4. Step 4: Simplify right side
    91,504x = 39,007,830,016
  5. Step 5: Solve for x
    x = 39,007,830,016/91,504
  6. Step 6: Final answer
    x = 426,296.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.