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Finding the Third Proportional to 155,161,129.50 and 232,314,135.75

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Solution

The third proportional to 155,161,129.50 and 232,314,135.75 is: 347,831,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,161,129.50 : 232,314,135.75 = 232,314,135.75 : x
  2. Step 2: Convert to fraction form
    155,161,129.50/232,314,135.75 = 232,314,135.75/x
  3. Step 3: Cross multiply
    155,161,129.50x = 232,314,135.75 × 232,314,135.75
  4. Step 4: Simplify right side
    155,161,129.50x = 53,969,857,669,269,432
  5. Step 5: Solve for x
    x = 53,969,857,669,269,432/155,161,129.50
  6. Step 6: Final answer
    x = 347,831,044.05

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Why These Related Problems?

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