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Finding the Third Proportional to 82,813,357.76 and 174,193,741.27

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Solution

The third proportional to 82,813,357.76 and 174,193,741.27 is: 366,407,791.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813,357.76 : 174,193,741.27 = 174,193,741.27 : x
  2. Step 2: Convert to fraction form
    82,813,357.76/174,193,741.27 = 174,193,741.27/x
  3. Step 3: Cross multiply
    82,813,357.76x = 174,193,741.27 × 174,193,741.27
  4. Step 4: Simplify right side
    82,813,357.76x = 30,343,459,496,113,760
  5. Step 5: Solve for x
    x = 30,343,459,496,113,760/82,813,357.76
  6. Step 6: Final answer
    x = 366,407,791.18

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