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Finding the Third Proportional to 201,397,320 and 310,992,696

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Solution

The third proportional to 201,397,320 and 310,992,696 is: 480,227,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,320 : 310,992,696 = 310,992,696 : x
  2. Step 2: Convert to fraction form
    201,397,320/310,992,696 = 310,992,696/x
  3. Step 3: Cross multiply
    201,397,320x = 310,992,696 × 310,992,696
  4. Step 4: Simplify right side
    201,397,320x = 96,716,456,965,348,416
  5. Step 5: Solve for x
    x = 96,716,456,965,348,416/201,397,320
  6. Step 6: Final answer
    x = 480,227,129.96

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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.