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Finding the Third Proportional to 99,212.50 and 234,157

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Solution

The third proportional to 99,212.50 and 234,157 is: 552,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,212.50 : 234,157 = 234,157 : x
  2. Step 2: Convert to fraction form
    99,212.50/234,157 = 234,157/x
  3. Step 3: Cross multiply
    99,212.50x = 234,157 × 234,157
  4. Step 4: Simplify right side
    99,212.50x = 54,829,500,649
  5. Step 5: Solve for x
    x = 54,829,500,649/99,212.50
  6. Step 6: Final answer
    x = 552,647.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.