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Finding the Third Proportional to 99,417 and 150,573.38

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Solution

The third proportional to 99,417 and 150,573.38 is: 228,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,417 : 150,573.38 = 150,573.38 : x
  2. Step 2: Convert to fraction form
    99,417/150,573.38 = 150,573.38/x
  3. Step 3: Cross multiply
    99,417x = 150,573.38 × 150,573.38
  4. Step 4: Simplify right side
    99,417x = 22,672,341,258.89
  5. Step 5: Solve for x
    x = 22,672,341,258.89/99,417
  6. Step 6: Final answer
    x = 228,052.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.