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Finding the Third Proportional to 267,653,659.50 and 409,175,217

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Solution

The third proportional to 267,653,659.50 and 409,175,217 is: 625,526,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,653,659.50 : 409,175,217 = 409,175,217 : x
  2. Step 2: Convert to fraction form
    267,653,659.50/409,175,217 = 409,175,217/x
  3. Step 3: Cross multiply
    267,653,659.50x = 409,175,217 × 409,175,217
  4. Step 4: Simplify right side
    267,653,659.50x = 167,424,358,206,997,088
  5. Step 5: Solve for x
    x = 167,424,358,206,997,088/267,653,659.50
  6. Step 6: Final answer
    x = 625,526,131.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.