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Finding the Third Proportional to 94,312 and 206,114

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Solution

The third proportional to 94,312 and 206,114 is: 450,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,312 : 206,114 = 206,114 : x
  2. Step 2: Convert to fraction form
    94,312/206,114 = 206,114/x
  3. Step 3: Cross multiply
    94,312x = 206,114 × 206,114
  4. Step 4: Simplify right side
    94,312x = 42,482,980,996
  5. Step 5: Solve for x
    x = 42,482,980,996/94,312
  6. Step 6: Final answer
    x = 450,451.49

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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.