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Finding the Third Proportional to 201,398,010 and 310,993,755

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Solution

The third proportional to 201,398,010 and 310,993,755 is: 480,228,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,398,010 : 310,993,755 = 310,993,755 : x
  2. Step 2: Convert to fraction form
    201,398,010/310,993,755 = 310,993,755/x
  3. Step 3: Cross multiply
    201,398,010x = 310,993,755 × 310,993,755
  4. Step 4: Simplify right side
    201,398,010x = 96,717,115,649,000,032
  5. Step 5: Solve for x
    x = 96,717,115,649,000,032/201,398,010
  6. Step 6: Final answer
    x = 480,228,755.23

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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.