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Finding the Third Proportional to 121,384,696 and 177,468,670

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Solution

The third proportional to 121,384,696 and 177,468,670 is: 259,465,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,384,696 : 177,468,670 = 177,468,670 : x
  2. Step 2: Convert to fraction form
    121,384,696/177,468,670 = 177,468,670/x
  3. Step 3: Cross multiply
    121,384,696x = 177,468,670 × 177,468,670
  4. Step 4: Simplify right side
    121,384,696x = 31,495,128,831,568,900
  5. Step 5: Solve for x
    x = 31,495,128,831,568,900/121,384,696
  6. Step 6: Final answer
    x = 259,465,401.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.