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Finding the Third Proportional to 156,665,775,024 and 235,164,481,969.50

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Solution

The third proportional to 156,665,775,024 and 235,164,481,969.50 is: 352,995,627,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,665,775,024 : 235,164,481,969.50 = 235,164,481,969.50 : x
  2. Step 2: Convert to fraction form
    156,665,775,024/235,164,481,969.50 = 235,164,481,969.50/x
  3. Step 3: Cross multiply
    156,665,775,024x = 235,164,481,969.50 × 235,164,481,969.50
  4. Step 4: Simplify right side
    156,665,775,024x = 55,302,333,579,983,289,581,568
  5. Step 5: Solve for x
    x = 55,302,333,579,983,289,581,568/156,665,775,024
  6. Step 6: Final answer
    x = 352,995,627,612.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.