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Finding the Third Proportional to 97,364.25 and 147,099.38

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Solution

The third proportional to 97,364.25 and 147,099.38 is: 222,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,364.25 : 147,099.38 = 147,099.38 : x
  2. Step 2: Convert to fraction form
    97,364.25/147,099.38 = 147,099.38/x
  3. Step 3: Cross multiply
    97,364.25x = 147,099.38 × 147,099.38
  4. Step 4: Simplify right side
    97,364.25x = 21,638,226,125.39
  5. Step 5: Solve for x
    x = 21,638,226,125.39/97,364.25
  6. Step 6: Final answer
    x = 222,239.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.