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Finding the Third Proportional to 99,647.50 and 148,051.50

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Solution

The third proportional to 99,647.50 and 148,051.50 is: 219,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,647.50 : 148,051.50 = 148,051.50 : x
  2. Step 2: Convert to fraction form
    99,647.50/148,051.50 = 148,051.50/x
  3. Step 3: Cross multiply
    99,647.50x = 148,051.50 × 148,051.50
  4. Step 4: Simplify right side
    99,647.50x = 21,919,246,652.25
  5. Step 5: Solve for x
    x = 21,919,246,652.25/99,647.50
  6. Step 6: Final answer
    x = 219,967.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.