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Finding the Third Proportional to 202,215,016 and 435,578,376

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Solution

The third proportional to 202,215,016 and 435,578,376 is: 938,251,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,215,016 : 435,578,376 = 435,578,376 : x
  2. Step 2: Convert to fraction form
    202,215,016/435,578,376 = 435,578,376/x
  3. Step 3: Cross multiply
    202,215,016x = 435,578,376 × 435,578,376
  4. Step 4: Simplify right side
    202,215,016x = 189,728,521,638,797,376
  5. Step 5: Solve for x
    x = 189,728,521,638,797,376/202,215,016
  6. Step 6: Final answer
    x = 938,251,398.89

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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.