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Finding the Third Proportional to 96,250,842 and 207,842,400

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Solution

The third proportional to 96,250,842 and 207,842,400 is: 448,811,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,250,842 : 207,842,400 = 207,842,400 : x
  2. Step 2: Convert to fraction form
    96,250,842/207,842,400 = 207,842,400/x
  3. Step 3: Cross multiply
    96,250,842x = 207,842,400 × 207,842,400
  4. Step 4: Simplify right side
    96,250,842x = 43,198,463,237,760,000
  5. Step 5: Solve for x
    x = 43,198,463,237,760,000/96,250,842
  6. Step 6: Final answer
    x = 448,811,276.25

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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.