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Finding the Third Proportional to 98,410.50 and 147,590.02

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Solution

The third proportional to 98,410.50 and 147,590.02 is: 221,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,410.50 : 147,590.02 = 147,590.02 : x
  2. Step 2: Convert to fraction form
    98,410.50/147,590.02 = 147,590.02/x
  3. Step 3: Cross multiply
    98,410.50x = 147,590.02 × 147,590.02
  4. Step 4: Simplify right side
    98,410.50x = 21,782,812,712.19
  5. Step 5: Solve for x
    x = 21,782,812,712.19/98,410.50
  6. Step 6: Final answer
    x = 221,346.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.