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Finding the Third Proportional to 90,301 and 207,680.50

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Solution

The third proportional to 90,301 and 207,680.50 is: 477,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,301 : 207,680.50 = 207,680.50 : x
  2. Step 2: Convert to fraction form
    90,301/207,680.50 = 207,680.50/x
  3. Step 3: Cross multiply
    90,301x = 207,680.50 × 207,680.50
  4. Step 4: Simplify right side
    90,301x = 43,131,190,080.25
  5. Step 5: Solve for x
    x = 43,131,190,080.25/90,301
  6. Step 6: Final answer
    x = 477,638.01

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.