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Finding the Third Proportional to 94,230 and 202,108.50

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Solution

The third proportional to 94,230 and 202,108.50 is: 433,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,230 : 202,108.50 = 202,108.50 : x
  2. Step 2: Convert to fraction form
    94,230/202,108.50 = 202,108.50/x
  3. Step 3: Cross multiply
    94,230x = 202,108.50 × 202,108.50
  4. Step 4: Simplify right side
    94,230x = 40,847,845,772.25
  5. Step 5: Solve for x
    x = 40,847,845,772.25/94,230
  6. Step 6: Final answer
    x = 433,490.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.