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Finding the Third Proportional to 201,391,641 and 433,771,702

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Solution

The third proportional to 201,391,641 and 433,771,702 is: 934,288,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,391,641 : 433,771,702 = 433,771,702 : x
  2. Step 2: Convert to fraction form
    201,391,641/433,771,702 = 433,771,702/x
  3. Step 3: Cross multiply
    201,391,641x = 433,771,702 × 433,771,702
  4. Step 4: Simplify right side
    201,391,641x = 188,157,889,455,976,800
  5. Step 5: Solve for x
    x = 188,157,889,455,976,800/201,391,641
  6. Step 6: Final answer
    x = 934,288,476.53

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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.