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Finding the Third Proportional to 82,103.63 and 177,702.19

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Solution

The third proportional to 82,103.63 and 177,702.19 is: 384,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,103.63 : 177,702.19 = 177,702.19 : x
  2. Step 2: Convert to fraction form
    82,103.63/177,702.19 = 177,702.19/x
  3. Step 3: Cross multiply
    82,103.63x = 177,702.19 × 177,702.19
  4. Step 4: Simplify right side
    82,103.63x = 31,578,067,442.29
  5. Step 5: Solve for x
    x = 31,578,067,442.29/82,103.63
  6. Step 6: Final answer
    x = 384,612.34

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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.