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Finding the Third Proportional to 201,397,770 and 310,993,381

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Solution

The third proportional to 201,397,770 and 310,993,381 is: 480,228,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,770 : 310,993,381 = 310,993,381 : x
  2. Step 2: Convert to fraction form
    201,397,770/310,993,381 = 310,993,381/x
  3. Step 3: Cross multiply
    201,397,770x = 310,993,381 × 310,993,381
  4. Step 4: Simplify right side
    201,397,770x = 96,716,883,025,811,168
  5. Step 5: Solve for x
    x = 96,716,883,025,811,168/201,397,770
  6. Step 6: Final answer
    x = 480,228,172.47

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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.