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Finding the Third Proportional to 91,876.22 and 197,827.88

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Solution

The third proportional to 91,876.22 and 197,827.88 is: 425,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,876.22 : 197,827.88 = 197,827.88 : x
  2. Step 2: Convert to fraction form
    91,876.22/197,827.88 = 197,827.88/x
  3. Step 3: Cross multiply
    91,876.22x = 197,827.88 × 197,827.88
  4. Step 4: Simplify right side
    91,876.22x = 39,135,868,127.02
  5. Step 5: Solve for x
    x = 39,135,868,127.02/91,876.22
  6. Step 6: Final answer
    x = 425,962.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.