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Finding the Third Proportional to 82,751,176.44 and 175,589,352.25

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Solution

The third proportional to 82,751,176.44 and 175,589,352.25 is: 372,582,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,751,176.44 : 175,589,352.25 = 175,589,352.25 : x
  2. Step 2: Convert to fraction form
    82,751,176.44/175,589,352.25 = 175,589,352.25/x
  3. Step 3: Cross multiply
    82,751,176.44x = 175,589,352.25 × 175,589,352.25
  4. Step 4: Simplify right side
    82,751,176.44x = 30,831,620,623,574,580
  5. Step 5: Solve for x
    x = 30,831,620,623,574,580/82,751,176.44
  6. Step 6: Final answer
    x = 372,582,263.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.