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Finding the Third Proportional to 103,614,434 and 226,696,586

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Solution

The third proportional to 103,614,434 and 226,696,586 is: 495,986,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614,434 : 226,696,586 = 226,696,586 : x
  2. Step 2: Convert to fraction form
    103,614,434/226,696,586 = 226,696,586/x
  3. Step 3: Cross multiply
    103,614,434x = 226,696,586 × 226,696,586
  4. Step 4: Simplify right side
    103,614,434x = 51,391,342,104,055,392
  5. Step 5: Solve for x
    x = 51,391,342,104,055,392/103,614,434
  6. Step 6: Final answer
    x = 495,986,322.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.