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Finding the Third Proportional to 201,083,715 and 433,910,641.50

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Solution

The third proportional to 201,083,715 and 433,910,641.50 is: 936,318,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,083,715 : 433,910,641.50 = 433,910,641.50 : x
  2. Step 2: Convert to fraction form
    201,083,715/433,910,641.50 = 433,910,641.50/x
  3. Step 3: Cross multiply
    201,083,715x = 433,910,641.50 × 433,910,641.50
  4. Step 4: Simplify right side
    201,083,715x = 188,278,444,806,941,536
  5. Step 5: Solve for x
    x = 188,278,444,806,941,536/201,083,715
  6. Step 6: Final answer
    x = 936,318,710.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.