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Finding the Third Proportional to 46,206 and 100,254.75

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Solution

The third proportional to 46,206 and 100,254.75 is: 217,526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,206 : 100,254.75 = 100,254.75 : x
  2. Step 2: Convert to fraction form
    46,206/100,254.75 = 100,254.75/x
  3. Step 3: Cross multiply
    46,206x = 100,254.75 × 100,254.75
  4. Step 4: Simplify right side
    46,206x = 10,051,014,897.56
  5. Step 5: Solve for x
    x = 10,051,014,897.56/46,206
  6. Step 6: Final answer
    x = 217,526.18

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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.