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Finding the Third Proportional to 96,271.88 and 214,679.53

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Solution

The third proportional to 96,271.88 and 214,679.53 is: 478,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,271.88 : 214,679.53 = 214,679.53 : x
  2. Step 2: Convert to fraction form
    96,271.88/214,679.53 = 214,679.53/x
  3. Step 3: Cross multiply
    96,271.88x = 214,679.53 × 214,679.53
  4. Step 4: Simplify right side
    96,271.88x = 46,087,301,137.72
  5. Step 5: Solve for x
    x = 46,087,301,137.72/96,271.88
  6. Step 6: Final answer
    x = 478,720.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.