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Finding the Third Proportional to 97,852.05 and 151,512.81

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Solution

The third proportional to 97,852.05 and 151,512.81 is: 234,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,852.05 : 151,512.81 = 151,512.81 : x
  2. Step 2: Convert to fraction form
    97,852.05/151,512.81 = 151,512.81/x
  3. Step 3: Cross multiply
    97,852.05x = 151,512.81 × 151,512.81
  4. Step 4: Simplify right side
    97,852.05x = 22,956,130,544.62
  5. Step 5: Solve for x
    x = 22,956,130,544.62/97,852.05
  6. Step 6: Final answer
    x = 234,600.40

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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.