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Finding the Third Proportional to 201,397,520 and 310,993,004

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Solution

The third proportional to 201,397,520 and 310,993,004 is: 480,227,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,520 : 310,993,004 = 310,993,004 : x
  2. Step 2: Convert to fraction form
    201,397,520/310,993,004 = 310,993,004/x
  3. Step 3: Cross multiply
    201,397,520x = 310,993,004 × 310,993,004
  4. Step 4: Simplify right side
    201,397,520x = 96,716,648,536,944,016
  5. Step 5: Solve for x
    x = 96,716,648,536,944,016/201,397,520
  6. Step 6: Final answer
    x = 480,227,604.28

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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.