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Finding the Third Proportional to 197,557,903.97 and 439,286,634.28

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Solution

The third proportional to 197,557,903.97 and 439,286,634.28 is: 976,790,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,557,903.97 : 439,286,634.28 = 439,286,634.28 : x
  2. Step 2: Convert to fraction form
    197,557,903.97/439,286,634.28 = 439,286,634.28/x
  3. Step 3: Cross multiply
    197,557,903.97x = 439,286,634.28 × 439,286,634.28
  4. Step 4: Simplify right side
    197,557,903.97x = 192,972,747,058,148,672
  5. Step 5: Solve for x
    x = 192,972,747,058,148,672/197,557,903.97
  6. Step 6: Final answer
    x = 976,790,820.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.