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Finding the Third Proportional to 96,090 and 206,392.50

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Solution

The third proportional to 96,090 and 206,392.50 is: 443,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,090 : 206,392.50 = 206,392.50 : x
  2. Step 2: Convert to fraction form
    96,090/206,392.50 = 206,392.50/x
  3. Step 3: Cross multiply
    96,090x = 206,392.50 × 206,392.50
  4. Step 4: Simplify right side
    96,090x = 42,597,864,056.25
  5. Step 5: Solve for x
    x = 42,597,864,056.25/96,090
  6. Step 6: Final answer
    x = 443,312.15

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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.