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Finding the Third Proportional to 269,957,812 and 403,167,706

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Solution

The third proportional to 269,957,812 and 403,167,706 is: 602,109,633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,957,812 : 403,167,706 = 403,167,706 : x
  2. Step 2: Convert to fraction form
    269,957,812/403,167,706 = 403,167,706/x
  3. Step 3: Cross multiply
    269,957,812x = 403,167,706 × 403,167,706
  4. Step 4: Simplify right side
    269,957,812x = 162,544,199,161,302,432
  5. Step 5: Solve for x
    x = 162,544,199,161,302,432/269,957,812
  6. Step 6: Final answer
    x = 602,109,633.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.