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Finding the Third Proportional to 135,221.06 and 289,202.06

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Solution

The third proportional to 135,221.06 and 289,202.06 is: 618,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,221.06 : 289,202.06 = 289,202.06 : x
  2. Step 2: Convert to fraction form
    135,221.06/289,202.06 = 289,202.06/x
  3. Step 3: Cross multiply
    135,221.06x = 289,202.06 × 289,202.06
  4. Step 4: Simplify right side
    135,221.06x = 83,637,832,954.25
  5. Step 5: Solve for x
    x = 83,637,832,954.25/135,221.06
  6. Step 6: Final answer
    x = 618,526.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.