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Finding the Third Proportional to 98,697.63 and 147,388.50

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Solution

The third proportional to 98,697.63 and 147,388.50 is: 220,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,697.63 : 147,388.50 = 147,388.50 : x
  2. Step 2: Convert to fraction form
    98,697.63/147,388.50 = 147,388.50/x
  3. Step 3: Cross multiply
    98,697.63x = 147,388.50 × 147,388.50
  4. Step 4: Simplify right side
    98,697.63x = 21,723,369,932.25
  5. Step 5: Solve for x
    x = 21,723,369,932.25/98,697.63
  6. Step 6: Final answer
    x = 220,100.23

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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.