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Finding the Third Proportional to 97,850.53 and 151,196.63

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Solution

The third proportional to 97,850.53 and 151,196.63 is: 233,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,850.53 : 151,196.63 = 151,196.63 : x
  2. Step 2: Convert to fraction form
    97,850.53/151,196.63 = 151,196.63/x
  3. Step 3: Cross multiply
    97,850.53x = 151,196.63 × 151,196.63
  4. Step 4: Simplify right side
    97,850.53x = 22,860,419,411.39
  5. Step 5: Solve for x
    x = 22,860,419,411.39/97,850.53
  6. Step 6: Final answer
    x = 233,625.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.