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Finding the Third Proportional to 89,348.06 and 196,465.50

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Solution

The third proportional to 89,348.06 and 196,465.50 is: 432,003.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,348.06 : 196,465.50 = 196,465.50 : x
  2. Step 2: Convert to fraction form
    89,348.06/196,465.50 = 196,465.50/x
  3. Step 3: Cross multiply
    89,348.06x = 196,465.50 × 196,465.50
  4. Step 4: Simplify right side
    89,348.06x = 38,598,692,690.25
  5. Step 5: Solve for x
    x = 38,598,692,690.25/89,348.06
  6. Step 6: Final answer
    x = 432,003.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.