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Finding the Third Proportional to 82,990,642.50 and 178,753,709.25

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Solution

The third proportional to 82,990,642.50 and 178,753,709.25 is: 385,017,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,990,642.50 : 178,753,709.25 = 178,753,709.25 : x
  2. Step 2: Convert to fraction form
    82,990,642.50/178,753,709.25 = 178,753,709.25/x
  3. Step 3: Cross multiply
    82,990,642.50x = 178,753,709.25 × 178,753,709.25
  4. Step 4: Simplify right side
    82,990,642.50x = 31,952,888,570,633,536
  5. Step 5: Solve for x
    x = 31,952,888,570,633,536/82,990,642.50
  6. Step 6: Final answer
    x = 385,017,968.39

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