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Finding the Third Proportional to 83,060.44 and 180,017.44

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Solution

The third proportional to 83,060.44 and 180,017.44 is: 390,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,060.44 : 180,017.44 = 180,017.44 : x
  2. Step 2: Convert to fraction form
    83,060.44/180,017.44 = 180,017.44/x
  3. Step 3: Cross multiply
    83,060.44x = 180,017.44 × 180,017.44
  4. Step 4: Simplify right side
    83,060.44x = 32,406,277,804.07
  5. Step 5: Solve for x
    x = 32,406,277,804.07/83,060.44
  6. Step 6: Final answer
    x = 390,152.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.