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Finding the Third Proportional to 190,097,826,316.50 and 402,859,751,238

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Solution

The third proportional to 190,097,826,316.50 and 402,859,751,238 is: 853,749,789,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,097,826,316.50 : 402,859,751,238 = 402,859,751,238 : x
  2. Step 2: Convert to fraction form
    190,097,826,316.50/402,859,751,238 = 402,859,751,238/x
  3. Step 3: Cross multiply
    190,097,826,316.50x = 402,859,751,238 × 402,859,751,238
  4. Step 4: Simplify right side
    190,097,826,316.50x = 162,295,979,167,543,241,736,192
  5. Step 5: Solve for x
    x = 162,295,979,167,543,241,736,192/190,097,826,316.50
  6. Step 6: Final answer
    x = 853,749,789,318.11

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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.