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Finding the Third Proportional to 212,616,144 and 333,095,922

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Solution

The third proportional to 212,616,144 and 333,095,922 is: 521,846,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,616,144 : 333,095,922 = 333,095,922 : x
  2. Step 2: Convert to fraction form
    212,616,144/333,095,922 = 333,095,922/x
  3. Step 3: Cross multiply
    212,616,144x = 333,095,922 × 333,095,922
  4. Step 4: Simplify right side
    212,616,144x = 110,952,893,253,030,080
  5. Step 5: Solve for x
    x = 110,952,893,253,030,080/212,616,144
  6. Step 6: Final answer
    x = 521,846,042.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.