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Finding the Third Proportional to 545,160,162 and 1,190,231,230

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Solution

The third proportional to 545,160,162 and 1,190,231,230 is: 2,598,594,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,160,162 : 1,190,231,230 = 1,190,231,230 : x
  2. Step 2: Convert to fraction form
    545,160,162/1,190,231,230 = 1,190,231,230/x
  3. Step 3: Cross multiply
    545,160,162x = 1,190,231,230 × 1,190,231,230
  4. Step 4: Simplify right side
    545,160,162x = 1,416,650,380,867,312,896
  5. Step 5: Solve for x
    x = 1,416,650,380,867,312,896/545,160,162
  6. Step 6: Final answer
    x = 2,598,594,834.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.