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Finding the Third Proportional to 201,655,651 and 433,956,917

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Solution

The third proportional to 201,655,651 and 433,956,917 is: 933,862,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,655,651 : 433,956,917 = 433,956,917 : x
  2. Step 2: Convert to fraction form
    201,655,651/433,956,917 = 433,956,917/x
  3. Step 3: Cross multiply
    201,655,651x = 433,956,917 × 433,956,917
  4. Step 4: Simplify right side
    201,655,651x = 188,318,605,812,144,896
  5. Step 5: Solve for x
    x = 188,318,605,812,144,896/201,655,651
  6. Step 6: Final answer
    x = 933,862,278.98

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Why These Related Problems?

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