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Finding the Third Proportional to 201,976,938 and 441,745,164

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Solution

The third proportional to 201,976,938 and 441,745,164 is: 966,143,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976,938 : 441,745,164 = 441,745,164 : x
  2. Step 2: Convert to fraction form
    201,976,938/441,745,164 = 441,745,164/x
  3. Step 3: Cross multiply
    201,976,938x = 441,745,164 × 441,745,164
  4. Step 4: Simplify right side
    201,976,938x = 195,138,789,917,386,880
  5. Step 5: Solve for x
    x = 195,138,789,917,386,880/201,976,938
  6. Step 6: Final answer
    x = 966,143,916.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.