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Finding the Third Proportional to 201,773,315.25 and 419,650,193.25

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Solution

The third proportional to 201,773,315.25 and 419,650,193.25 is: 872,792,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,773,315.25 : 419,650,193.25 = 419,650,193.25 : x
  2. Step 2: Convert to fraction form
    201,773,315.25/419,650,193.25 = 419,650,193.25/x
  3. Step 3: Cross multiply
    201,773,315.25x = 419,650,193.25 × 419,650,193.25
  4. Step 4: Simplify right side
    201,773,315.25x = 176,106,284,694,762,336
  5. Step 5: Solve for x
    x = 176,106,284,694,762,336/201,773,315.25
  6. Step 6: Final answer
    x = 872,792,740.09

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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.