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Finding the Third Proportional to 102,681 and 206,886.75

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Solution

The third proportional to 102,681 and 206,886.75 is: 416,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,681 : 206,886.75 = 206,886.75 : x
  2. Step 2: Convert to fraction form
    102,681/206,886.75 = 206,886.75/x
  3. Step 3: Cross multiply
    102,681x = 206,886.75 × 206,886.75
  4. Step 4: Simplify right side
    102,681x = 42,802,127,325.56
  5. Step 5: Solve for x
    x = 42,802,127,325.56/102,681
  6. Step 6: Final answer
    x = 416,845.64

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.