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Finding the Third Proportional to 247,111,688.75 and 541,698,773.50

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Solution

The third proportional to 247,111,688.75 and 541,698,773.50 is: 1,187,469,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,111,688.75 : 541,698,773.50 = 541,698,773.50 : x
  2. Step 2: Convert to fraction form
    247,111,688.75/541,698,773.50 = 541,698,773.50/x
  3. Step 3: Cross multiply
    247,111,688.75x = 541,698,773.50 × 541,698,773.50
  4. Step 4: Simplify right side
    247,111,688.75x = 293,437,561,211,404,288
  5. Step 5: Solve for x
    x = 293,437,561,211,404,288/247,111,688.75
  6. Step 6: Final answer
    x = 1,187,469,369.40

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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.