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Finding the Third Proportional to 148,121 and 211,664.50

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Solution

The third proportional to 148,121 and 211,664.50 is: 302,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,121 : 211,664.50 = 211,664.50 : x
  2. Step 2: Convert to fraction form
    148,121/211,664.50 = 211,664.50/x
  3. Step 3: Cross multiply
    148,121x = 211,664.50 × 211,664.50
  4. Step 4: Simplify right side
    148,121x = 44,801,860,560.25
  5. Step 5: Solve for x
    x = 44,801,860,560.25/148,121
  6. Step 6: Final answer
    x = 302,467.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.