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Finding the Third Proportional to 82,784,648 and 174,149,986

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Solution

The third proportional to 82,784,648 and 174,149,986 is: 366,350,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,784,648 : 174,149,986 = 174,149,986 : x
  2. Step 2: Convert to fraction form
    82,784,648/174,149,986 = 174,149,986/x
  3. Step 3: Cross multiply
    82,784,648x = 174,149,986 × 174,149,986
  4. Step 4: Simplify right side
    82,784,648x = 30,328,217,623,800,196
  5. Step 5: Solve for x
    x = 30,328,217,623,800,196/82,784,648
  6. Step 6: Final answer
    x = 366,350,746.87

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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.