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Finding the Third Proportional to 190,097,826,287 and 402,859,751,180

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Solution

The third proportional to 190,097,826,287 and 402,859,751,180 is: 853,749,789,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,097,826,287 : 402,859,751,180 = 402,859,751,180 : x
  2. Step 2: Convert to fraction form
    190,097,826,287/402,859,751,180 = 402,859,751,180/x
  3. Step 3: Cross multiply
    190,097,826,287x = 402,859,751,180 × 402,859,751,180
  4. Step 4: Simplify right side
    190,097,826,287x = 162,295,979,120,811,514,527,744
  5. Step 5: Solve for x
    x = 162,295,979,120,811,514,527,744/190,097,826,287
  6. Step 6: Final answer
    x = 853,749,789,204.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.