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Finding the Third Proportional to 201,397,932 and 310,993,635

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Solution

The third proportional to 201,397,932 and 310,993,635 is: 480,228,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,932 : 310,993,635 = 310,993,635 : x
  2. Step 2: Convert to fraction form
    201,397,932/310,993,635 = 310,993,635/x
  3. Step 3: Cross multiply
    201,397,932x = 310,993,635 × 310,993,635
  4. Step 4: Simplify right side
    201,397,932x = 96,717,041,010,513,232
  5. Step 5: Solve for x
    x = 96,717,041,010,513,232/201,397,932
  6. Step 6: Final answer
    x = 480,228,570.62

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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.