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Finding the Third Proportional to 96,251,971.50 and 207,847,240.50

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Solution

The third proportional to 96,251,971.50 and 207,847,240.50 is: 448,826,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,251,971.50 : 207,847,240.50 = 207,847,240.50 : x
  2. Step 2: Convert to fraction form
    96,251,971.50/207,847,240.50 = 207,847,240.50/x
  3. Step 3: Cross multiply
    96,251,971.50x = 207,847,240.50 × 207,847,240.50
  4. Step 4: Simplify right side
    96,251,971.50x = 43,200,475,383,464,840
  5. Step 5: Solve for x
    x = 43,200,475,383,464,840/96,251,971.50
  6. Step 6: Final answer
    x = 448,826,914.51

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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.