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Finding the Third Proportional to 200,857,945 and 435,234,502

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Solution

The third proportional to 200,857,945 and 435,234,502 is: 943,099,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,857,945 : 435,234,502 = 435,234,502 : x
  2. Step 2: Convert to fraction form
    200,857,945/435,234,502 = 435,234,502/x
  3. Step 3: Cross multiply
    200,857,945x = 435,234,502 × 435,234,502
  4. Step 4: Simplify right side
    200,857,945x = 189,429,071,731,188,000
  5. Step 5: Solve for x
    x = 189,429,071,731,188,000/200,857,945
  6. Step 6: Final answer
    x = 943,099,720.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.