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Finding the Third Proportional to 104,154 and 223,070.25

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Solution

The third proportional to 104,154 and 223,070.25 is: 477,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,154 : 223,070.25 = 223,070.25 : x
  2. Step 2: Convert to fraction form
    104,154/223,070.25 = 223,070.25/x
  3. Step 3: Cross multiply
    104,154x = 223,070.25 × 223,070.25
  4. Step 4: Simplify right side
    104,154x = 49,760,336,435.06
  5. Step 5: Solve for x
    x = 49,760,336,435.06/104,154
  6. Step 6: Final answer
    x = 477,757.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.