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Finding the Third Proportional to 48,316 and 97,997

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Solution

The third proportional to 48,316 and 97,997 is: 198,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,316 : 97,997 = 97,997 : x
  2. Step 2: Convert to fraction form
    48,316/97,997 = 97,997/x
  3. Step 3: Cross multiply
    48,316x = 97,997 × 97,997
  4. Step 4: Simplify right side
    48,316x = 9,603,412,009
  5. Step 5: Solve for x
    x = 9,603,412,009/48,316
  6. Step 6: Final answer
    x = 198,762.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.