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Finding the Third Proportional to 135,054,617.25 and 290,584,476

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Solution

The third proportional to 135,054,617.25 and 290,584,476 is: 625,223,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,054,617.25 : 290,584,476 = 290,584,476 : x
  2. Step 2: Convert to fraction form
    135,054,617.25/290,584,476 = 290,584,476/x
  3. Step 3: Cross multiply
    135,054,617.25x = 290,584,476 × 290,584,476
  4. Step 4: Simplify right side
    135,054,617.25x = 84,439,337,692,194,576
  5. Step 5: Solve for x
    x = 84,439,337,692,194,576/135,054,617.25
  6. Step 6: Final answer
    x = 625,223,627.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.