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Finding the Third Proportional to 97,093.69 and 150,686.58

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Solution

The third proportional to 97,093.69 and 150,686.58 is: 233,861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,093.69 : 150,686.58 = 150,686.58 : x
  2. Step 2: Convert to fraction form
    97,093.69/150,686.58 = 150,686.58/x
  3. Step 3: Cross multiply
    97,093.69x = 150,686.58 × 150,686.58
  4. Step 4: Simplify right side
    97,093.69x = 22,706,444,827.02
  5. Step 5: Solve for x
    x = 22,706,444,827.02/97,093.69
  6. Step 6: Final answer
    x = 233,861.19

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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.