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Finding the Third Proportional to 293,007,823.50 and 453,489,136.50

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Solution

The third proportional to 293,007,823.50 and 453,489,136.50 is: 701,866,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,007,823.50 : 453,489,136.50 = 453,489,136.50 : x
  2. Step 2: Convert to fraction form
    293,007,823.50/453,489,136.50 = 453,489,136.50/x
  3. Step 3: Cross multiply
    293,007,823.50x = 453,489,136.50 × 453,489,136.50
  4. Step 4: Simplify right side
    293,007,823.50x = 205,652,396,923,515,648
  5. Step 5: Solve for x
    x = 205,652,396,923,515,648/293,007,823.50
  6. Step 6: Final answer
    x = 701,866,572.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.