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Finding the Third Proportional to 201,934,839 and 442,176,629

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Solution

The third proportional to 201,934,839 and 442,176,629 is: 968,233,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,934,839 : 442,176,629 = 442,176,629 : x
  2. Step 2: Convert to fraction form
    201,934,839/442,176,629 = 442,176,629/x
  3. Step 3: Cross multiply
    201,934,839x = 442,176,629 × 442,176,629
  4. Step 4: Simplify right side
    201,934,839x = 195,520,171,233,803,648
  5. Step 5: Solve for x
    x = 195,520,171,233,803,648/201,934,839
  6. Step 6: Final answer
    x = 968,233,971.92

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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.