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Finding the Third Proportional to 45,333 and 97,683.75

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Solution

The third proportional to 45,333 and 97,683.75 is: 210,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,333 : 97,683.75 = 97,683.75 : x
  2. Step 2: Convert to fraction form
    45,333/97,683.75 = 97,683.75/x
  3. Step 3: Cross multiply
    45,333x = 97,683.75 × 97,683.75
  4. Step 4: Simplify right side
    45,333x = 9,542,115,014.06
  5. Step 5: Solve for x
    x = 9,542,115,014.06/45,333
  6. Step 6: Final answer
    x = 210,489.38

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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.