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Finding the Third Proportional to 84,145.69 and 180,113.81

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Solution

The third proportional to 84,145.69 and 180,113.81 is: 385,533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,145.69 : 180,113.81 = 180,113.81 : x
  2. Step 2: Convert to fraction form
    84,145.69/180,113.81 = 180,113.81/x
  3. Step 3: Cross multiply
    84,145.69x = 180,113.81 × 180,113.81
  4. Step 4: Simplify right side
    84,145.69x = 32,440,985,453.29
  5. Step 5: Solve for x
    x = 32,440,985,453.29/84,145.69
  6. Step 6: Final answer
    x = 385,533.55

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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.