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Finding the Third Proportional to 247,111,688.25 and 541,698,772.50

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Solution

The third proportional to 247,111,688.25 and 541,698,772.50 is: 1,187,469,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,111,688.25 : 541,698,772.50 = 541,698,772.50 : x
  2. Step 2: Convert to fraction form
    247,111,688.25/541,698,772.50 = 541,698,772.50/x
  3. Step 3: Cross multiply
    247,111,688.25x = 541,698,772.50 × 541,698,772.50
  4. Step 4: Simplify right side
    247,111,688.25x = 293,437,560,128,006,784
  5. Step 5: Solve for x
    x = 293,437,560,128,006,784/247,111,688.25
  6. Step 6: Final answer
    x = 1,187,469,367.42

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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.