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Finding the Third Proportional to 69,835,545 and 164,621,799

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Solution

The third proportional to 69,835,545 and 164,621,799 is: 388,059,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,835,545 : 164,621,799 = 164,621,799 : x
  2. Step 2: Convert to fraction form
    69,835,545/164,621,799 = 164,621,799/x
  3. Step 3: Cross multiply
    69,835,545x = 164,621,799 × 164,621,799
  4. Step 4: Simplify right side
    69,835,545x = 27,100,336,705,996,400
  5. Step 5: Solve for x
    x = 27,100,336,705,996,400/69,835,545
  6. Step 6: Final answer
    x = 388,059,357.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.