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Finding the Third Proportional to 201,397,680 and 310,993,257

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Solution

The third proportional to 201,397,680 and 310,993,257 is: 480,228,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,680 : 310,993,257 = 310,993,257 : x
  2. Step 2: Convert to fraction form
    201,397,680/310,993,257 = 310,993,257/x
  3. Step 3: Cross multiply
    201,397,680x = 310,993,257 × 310,993,257
  4. Step 4: Simplify right side
    201,397,680x = 96,716,805,899,468,048
  5. Step 5: Solve for x
    x = 96,716,805,899,468,048/201,397,680
  6. Step 6: Final answer
    x = 480,228,004.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.