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Finding the Third Proportional to 201,397,941 and 310,993,650

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Solution

The third proportional to 201,397,941 and 310,993,650 is: 480,228,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,941 : 310,993,650 = 310,993,650 : x
  2. Step 2: Convert to fraction form
    201,397,941/310,993,650 = 310,993,650/x
  3. Step 3: Cross multiply
    201,397,941x = 310,993,650 × 310,993,650
  4. Step 4: Simplify right side
    201,397,941x = 96,717,050,340,322,496
  5. Step 5: Solve for x
    x = 96,717,050,340,322,496/201,397,941
  6. Step 6: Final answer
    x = 480,228,595.49

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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.