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Finding the Third Proportional to 267,136,300 and 402,806,688

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Solution

The third proportional to 267,136,300 and 402,806,688 is: 607,379,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,136,300 : 402,806,688 = 402,806,688 : x
  2. Step 2: Convert to fraction form
    267,136,300/402,806,688 = 402,806,688/x
  3. Step 3: Cross multiply
    267,136,300x = 402,806,688 × 402,806,688
  4. Step 4: Simplify right side
    267,136,300x = 162,253,227,897,529,344
  5. Step 5: Solve for x
    x = 162,253,227,897,529,344/267,136,300
  6. Step 6: Final answer
    x = 607,379,932.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.