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Finding the Third Proportional to 269,953,919 and 403,165,057

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Solution

The third proportional to 269,953,919 and 403,165,057 is: 602,110,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,953,919 : 403,165,057 = 403,165,057 : x
  2. Step 2: Convert to fraction form
    269,953,919/403,165,057 = 403,165,057/x
  3. Step 3: Cross multiply
    269,953,919x = 403,165,057 × 403,165,057
  4. Step 4: Simplify right side
    269,953,919x = 162,542,063,185,813,248
  5. Step 5: Solve for x
    x = 162,542,063,185,813,248/269,953,919
  6. Step 6: Final answer
    x = 602,110,403.83

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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.