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Finding the Third Proportional to 178,135,627.50 and 275,823,141.75

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Solution

The third proportional to 178,135,627.50 and 275,823,141.75 is: 427,081,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,135,627.50 : 275,823,141.75 = 275,823,141.75 : x
  2. Step 2: Convert to fraction form
    178,135,627.50/275,823,141.75 = 275,823,141.75/x
  3. Step 3: Cross multiply
    178,135,627.50x = 275,823,141.75 × 275,823,141.75
  4. Step 4: Simplify right side
    178,135,627.50x = 76,078,405,524,840,592
  5. Step 5: Solve for x
    x = 76,078,405,524,840,592/178,135,627.50
  6. Step 6: Final answer
    x = 427,081,357.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.