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Finding the Third Proportional to 213,694,825.88 and 319,284,290.63

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Solution

The third proportional to 213,694,825.88 and 319,284,290.63 is: 477,046,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,694,825.88 : 319,284,290.63 = 319,284,290.63 : x
  2. Step 2: Convert to fraction form
    213,694,825.88/319,284,290.63 = 319,284,290.63/x
  3. Step 3: Cross multiply
    213,694,825.88x = 319,284,290.63 × 319,284,290.63
  4. Step 4: Simplify right side
    213,694,825.88x = 101,942,458,239,909,456
  5. Step 5: Solve for x
    x = 101,942,458,239,909,456/213,694,825.88
  6. Step 6: Final answer
    x = 477,046,918.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.