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Finding the Third Proportional to 105,001 and 230,416

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Solution

The third proportional to 105,001 and 230,416 is: 505,628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,001 : 230,416 = 230,416 : x
  2. Step 2: Convert to fraction form
    105,001/230,416 = 230,416/x
  3. Step 3: Cross multiply
    105,001x = 230,416 × 230,416
  4. Step 4: Simplify right side
    105,001x = 53,091,533,056
  5. Step 5: Solve for x
    x = 53,091,533,056/105,001
  6. Step 6: Final answer
    x = 505,628.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.