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Finding the Third Proportional to 68,594,733 and 147,135,939.75

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Solution

The third proportional to 68,594,733 and 147,135,939.75 is: 315,607,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,594,733 : 147,135,939.75 = 147,135,939.75 : x
  2. Step 2: Convert to fraction form
    68,594,733/147,135,939.75 = 147,135,939.75/x
  3. Step 3: Cross multiply
    68,594,733x = 147,135,939.75 × 147,135,939.75
  4. Step 4: Simplify right side
    68,594,733x = 21,648,984,766,115,632
  5. Step 5: Solve for x
    x = 21,648,984,766,115,632/68,594,733
  6. Step 6: Final answer
    x = 315,607,100.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.