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Finding the Third Proportional to 274,228,205.25 and 593,184,797.25

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Solution

The third proportional to 274,228,205.25 and 593,184,797.25 is: 1,283,121,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,228,205.25 : 593,184,797.25 = 593,184,797.25 : x
  2. Step 2: Convert to fraction form
    274,228,205.25/593,184,797.25 = 593,184,797.25/x
  3. Step 3: Cross multiply
    274,228,205.25x = 593,184,797.25 × 593,184,797.25
  4. Step 4: Simplify right side
    274,228,205.25x = 351,868,203,688,523,584
  5. Step 5: Solve for x
    x = 351,868,203,688,523,584/274,228,205.25
  6. Step 6: Final answer
    x = 1,283,121,856.00

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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.