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Finding the Third Proportional to 204,570,189 and 448,746,218

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Solution

The third proportional to 204,570,189 and 448,746,218 is: 984,372,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,570,189 : 448,746,218 = 448,746,218 : x
  2. Step 2: Convert to fraction form
    204,570,189/448,746,218 = 448,746,218/x
  3. Step 3: Cross multiply
    204,570,189x = 448,746,218 × 448,746,218
  4. Step 4: Simplify right side
    204,570,189x = 201,373,168,169,303,520
  5. Step 5: Solve for x
    x = 201,373,168,169,303,520/204,570,189
  6. Step 6: Final answer
    x = 984,372,010.18

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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.