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Finding the Third Proportional to 201,773,325 and 419,650,213.50

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Solution

The third proportional to 201,773,325 and 419,650,213.50 is: 872,792,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,773,325 : 419,650,213.50 = 419,650,213.50 : x
  2. Step 2: Convert to fraction form
    201,773,325/419,650,213.50 = 419,650,213.50/x
  3. Step 3: Cross multiply
    201,773,325x = 419,650,213.50 × 419,650,213.50
  4. Step 4: Simplify right side
    201,773,325x = 176,106,301,690,595,584
  5. Step 5: Solve for x
    x = 176,106,301,690,595,584/201,773,325
  6. Step 6: Final answer
    x = 872,792,782.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.