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Finding the Third Proportional to 134,752,199,190 and 209,319,780,232.50

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Solution

The third proportional to 134,752,199,190 and 209,319,780,232.50 is: 325,150,688,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,752,199,190 : 209,319,780,232.50 = 209,319,780,232.50 : x
  2. Step 2: Convert to fraction form
    134,752,199,190/209,319,780,232.50 = 209,319,780,232.50/x
  3. Step 3: Cross multiply
    134,752,199,190x = 209,319,780,232.50 × 209,319,780,232.50
  4. Step 4: Simplify right side
    134,752,199,190x = 43,814,770,396,582,098,501,632
  5. Step 5: Solve for x
    x = 43,814,770,396,582,098,501,632/134,752,199,190
  6. Step 6: Final answer
    x = 325,150,688,893.79

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Why These Related Problems?

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