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Finding the Third Proportional to 139,640,045 and 293,751,469

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Solution

The third proportional to 139,640,045 and 293,751,469 is: 617,945,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,640,045 : 293,751,469 = 293,751,469 : x
  2. Step 2: Convert to fraction form
    139,640,045/293,751,469 = 293,751,469/x
  3. Step 3: Cross multiply
    139,640,045x = 293,751,469 × 293,751,469
  4. Step 4: Simplify right side
    139,640,045x = 86,289,925,539,657,968
  5. Step 5: Solve for x
    x = 86,289,925,539,657,968/139,640,045
  6. Step 6: Final answer
    x = 617,945,414.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.