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Finding the Third Proportional to 44,253 and 97,395.75

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Solution

The third proportional to 44,253 and 97,395.75 is: 214,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,253 : 97,395.75 = 97,395.75 : x
  2. Step 2: Convert to fraction form
    44,253/97,395.75 = 97,395.75/x
  3. Step 3: Cross multiply
    44,253x = 97,395.75 × 97,395.75
  4. Step 4: Simplify right side
    44,253x = 9,485,932,118.06
  5. Step 5: Solve for x
    x = 9,485,932,118.06/44,253
  6. Step 6: Final answer
    x = 214,356.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.