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Finding the Third Proportional to 91,616 and 197,083

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Solution

The third proportional to 91,616 and 197,083 is: 423,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,616 : 197,083 = 197,083 : x
  2. Step 2: Convert to fraction form
    91,616/197,083 = 197,083/x
  3. Step 3: Cross multiply
    91,616x = 197,083 × 197,083
  4. Step 4: Simplify right side
    91,616x = 38,841,708,889
  5. Step 5: Solve for x
    x = 38,841,708,889/91,616
  6. Step 6: Final answer
    x = 423,962.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.