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Finding the Third Proportional to 97,692 and 210,312

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Solution

The third proportional to 97,692 and 210,312 is: 452,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,692 : 210,312 = 210,312 : x
  2. Step 2: Convert to fraction form
    97,692/210,312 = 210,312/x
  3. Step 3: Cross multiply
    97,692x = 210,312 × 210,312
  4. Step 4: Simplify right side
    97,692x = 44,231,137,344
  5. Step 5: Solve for x
    x = 44,231,137,344/97,692
  6. Step 6: Final answer
    x = 452,761.10

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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.