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Finding the Third Proportional to 82,291,255.50 and 178,768,500

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Solution

The third proportional to 82,291,255.50 and 178,768,500 is: 388,354,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,291,255.50 : 178,768,500 = 178,768,500 : x
  2. Step 2: Convert to fraction form
    82,291,255.50/178,768,500 = 178,768,500/x
  3. Step 3: Cross multiply
    82,291,255.50x = 178,768,500 × 178,768,500
  4. Step 4: Simplify right side
    82,291,255.50x = 31,958,176,592,250,000
  5. Step 5: Solve for x
    x = 31,958,176,592,250,000/82,291,255.50
  6. Step 6: Final answer
    x = 388,354,466.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.