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Finding the Third Proportional to 201,397,770 and 310,993,374

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Solution

The third proportional to 201,397,770 and 310,993,374 is: 480,228,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,770 : 310,993,374 = 310,993,374 : x
  2. Step 2: Convert to fraction form
    201,397,770/310,993,374 = 310,993,374/x
  3. Step 3: Cross multiply
    201,397,770x = 310,993,374 × 310,993,374
  4. Step 4: Simplify right side
    201,397,770x = 96,716,878,671,903,872
  5. Step 5: Solve for x
    x = 96,716,878,671,903,872/201,397,770
  6. Step 6: Final answer
    x = 480,228,150.85

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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.