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Finding the Third Proportional to 168,829,830 and 365,837,955.75

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Solution

The third proportional to 168,829,830 and 365,837,955.75 is: 792,735,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,829,830 : 365,837,955.75 = 365,837,955.75 : x
  2. Step 2: Convert to fraction form
    168,829,830/365,837,955.75 = 365,837,955.75/x
  3. Step 3: Cross multiply
    168,829,830x = 365,837,955.75 × 365,837,955.75
  4. Step 4: Simplify right side
    168,829,830x = 133,837,409,867,338,960
  5. Step 5: Solve for x
    x = 133,837,409,867,338,960/168,829,830
  6. Step 6: Final answer
    x = 792,735,560.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.