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Finding the Third Proportional to 86,819,080 and 188,733,976

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Solution

The third proportional to 86,819,080 and 188,733,976 is: 410,284,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,819,080 : 188,733,976 = 188,733,976 : x
  2. Step 2: Convert to fraction form
    86,819,080/188,733,976 = 188,733,976/x
  3. Step 3: Cross multiply
    86,819,080x = 188,733,976 × 188,733,976
  4. Step 4: Simplify right side
    86,819,080x = 35,620,513,696,768,576
  5. Step 5: Solve for x
    x = 35,620,513,696,768,576/86,819,080
  6. Step 6: Final answer
    x = 410,284,394.82

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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.