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Finding the Third Proportional to 201,391,602 and 433,771,624

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Solution

The third proportional to 201,391,602 and 433,771,624 is: 934,288,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,391,602 : 433,771,624 = 433,771,624 : x
  2. Step 2: Convert to fraction form
    201,391,602/433,771,624 = 433,771,624/x
  3. Step 3: Cross multiply
    201,391,602x = 433,771,624 × 433,771,624
  4. Step 4: Simplify right side
    201,391,602x = 188,157,821,787,597,376
  5. Step 5: Solve for x
    x = 188,157,821,787,597,376/201,391,602
  6. Step 6: Final answer
    x = 934,288,321.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.