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Finding the Third Proportional to 84,312.75 and 180,644.63

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Solution

The third proportional to 84,312.75 and 180,644.63 is: 387,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,312.75 : 180,644.63 = 180,644.63 : x
  2. Step 2: Convert to fraction form
    84,312.75/180,644.63 = 180,644.63/x
  3. Step 3: Cross multiply
    84,312.75x = 180,644.63 × 180,644.63
  4. Step 4: Simplify right side
    84,312.75x = 32,632,480,541.39
  5. Step 5: Solve for x
    x = 32,632,480,541.39/84,312.75
  6. Step 6: Final answer
    x = 387,040.88

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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.