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Finding the Third Proportional to 204,570,247 and 448,746,336

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Solution

The third proportional to 204,570,247 and 448,746,336 is: 984,372,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,570,247 : 448,746,336 = 448,746,336 : x
  2. Step 2: Convert to fraction form
    204,570,247/448,746,336 = 448,746,336/x
  3. Step 3: Cross multiply
    204,570,247x = 448,746,336 × 448,746,336
  4. Step 4: Simplify right side
    204,570,247x = 201,373,274,073,424,896
  5. Step 5: Solve for x
    x = 201,373,274,073,424,896/204,570,247
  6. Step 6: Final answer
    x = 984,372,248.78

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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.