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Finding the Third Proportional to 92,312 and 202,192

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Solution

The third proportional to 92,312 and 202,192 is: 442,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,312 : 202,192 = 202,192 : x
  2. Step 2: Convert to fraction form
    92,312/202,192 = 202,192/x
  3. Step 3: Cross multiply
    92,312x = 202,192 × 202,192
  4. Step 4: Simplify right side
    92,312x = 40,881,604,864
  5. Step 5: Solve for x
    x = 40,881,604,864/92,312
  6. Step 6: Final answer
    x = 442,863.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.