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Finding the Third Proportional to 200,958,633.47 and 418,431,966.89

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Solution

The third proportional to 200,958,633.47 and 418,431,966.89 is: 871,250,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,958,633.47 : 418,431,966.89 = 418,431,966.89 : x
  2. Step 2: Convert to fraction form
    200,958,633.47/418,431,966.89 = 418,431,966.89/x
  3. Step 3: Cross multiply
    200,958,633.47x = 418,431,966.89 × 418,431,966.89
  4. Step 4: Simplify right side
    200,958,633.47x = 175,085,310,915,952,896
  5. Step 5: Solve for x
    x = 175,085,310,915,952,896/200,958,633.47
  6. Step 6: Final answer
    x = 871,250,505.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.