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Finding the Third Proportional to 78,211,206 and 118,323,448

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Solution

The third proportional to 78,211,206 and 118,323,448 is: 179,008,086.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,211,206 : 118,323,448 = 118,323,448 : x
  2. Step 2: Convert to fraction form
    78,211,206/118,323,448 = 118,323,448/x
  3. Step 3: Cross multiply
    78,211,206x = 118,323,448 × 118,323,448
  4. Step 4: Simplify right side
    78,211,206x = 14,000,438,346,608,704
  5. Step 5: Solve for x
    x = 14,000,438,346,608,704/78,211,206
  6. Step 6: Final answer
    x = 179,008,086.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.