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Finding the Third Proportional to 96,257,344 and 142,263,168

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Solution

The third proportional to 96,257,344 and 142,263,168 is: 210,257,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,257,344 : 142,263,168 = 142,263,168 : x
  2. Step 2: Convert to fraction form
    96,257,344/142,263,168 = 142,263,168/x
  3. Step 3: Cross multiply
    96,257,344x = 142,263,168 × 142,263,168
  4. Step 4: Simplify right side
    96,257,344x = 20,238,808,969,396,224
  5. Step 5: Solve for x
    x = 20,238,808,969,396,224/96,257,344
  6. Step 6: Final answer
    x = 210,257,297.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.