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Finding the Third Proportional to 64,993,600.13 and 142,739,840.25

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Solution

The third proportional to 64,993,600.13 and 142,739,840.25 is: 313,487,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,993,600.13 : 142,739,840.25 = 142,739,840.25 : x
  2. Step 2: Convert to fraction form
    64,993,600.13/142,739,840.25 = 142,739,840.25/x
  3. Step 3: Cross multiply
    64,993,600.13x = 142,739,840.25 × 142,739,840.25
  4. Step 4: Simplify right side
    64,993,600.13x = 20,374,661,994,595,520
  5. Step 5: Solve for x
    x = 20,374,661,994,595,520/64,993,600.13
  6. Step 6: Final answer
    x = 313,487,204.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.