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Finding the Third Proportional to 92,031.75 and 197,176.50

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Solution

The third proportional to 92,031.75 and 197,176.50 is: 422,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,031.75 : 197,176.50 = 197,176.50 : x
  2. Step 2: Convert to fraction form
    92,031.75/197,176.50 = 197,176.50/x
  3. Step 3: Cross multiply
    92,031.75x = 197,176.50 × 197,176.50
  4. Step 4: Simplify right side
    92,031.75x = 38,878,572,152.25
  5. Step 5: Solve for x
    x = 38,878,572,152.25/92,031.75
  6. Step 6: Final answer
    x = 422,447.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.