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Finding the Third Proportional to 201,397,738 and 310,993,328

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Solution

The third proportional to 201,397,738 and 310,993,328 is: 480,228,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,738 : 310,993,328 = 310,993,328 : x
  2. Step 2: Convert to fraction form
    201,397,738/310,993,328 = 310,993,328/x
  3. Step 3: Cross multiply
    201,397,738x = 310,993,328 × 310,993,328
  4. Step 4: Simplify right side
    201,397,738x = 96,716,850,060,515,584
  5. Step 5: Solve for x
    x = 96,716,850,060,515,584/201,397,738
  6. Step 6: Final answer
    x = 480,228,085.09

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