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Finding the Third Proportional to 269,957,814 and 403,167,709

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Solution

The third proportional to 269,957,814 and 403,167,709 is: 602,109,637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,957,814 : 403,167,709 = 403,167,709 : x
  2. Step 2: Convert to fraction form
    269,957,814/403,167,709 = 403,167,709/x
  3. Step 3: Cross multiply
    269,957,814x = 403,167,709 × 403,167,709
  4. Step 4: Simplify right side
    269,957,814x = 162,544,201,580,308,672
  5. Step 5: Solve for x
    x = 162,544,201,580,308,672/269,957,814
  6. Step 6: Final answer
    x = 602,109,637.69

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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.