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Finding the Third Proportional to 83,746.13 and 180,622.13

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Solution

The third proportional to 83,746.13 and 180,622.13 is: 389,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,746.13 : 180,622.13 = 180,622.13 : x
  2. Step 2: Convert to fraction form
    83,746.13/180,622.13 = 180,622.13/x
  3. Step 3: Cross multiply
    83,746.13x = 180,622.13 × 180,622.13
  4. Step 4: Simplify right side
    83,746.13x = 32,624,352,039.52
  5. Step 5: Solve for x
    x = 32,624,352,039.52/83,746.13
  6. Step 6: Final answer
    x = 389,562.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.