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Finding the Third Proportional to 103,614,410.25 and 226,696,537.69

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Solution

The third proportional to 103,614,410.25 and 226,696,537.69 is: 495,986,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614,410.25 : 226,696,537.69 = 226,696,537.69 : x
  2. Step 2: Convert to fraction form
    103,614,410.25/226,696,537.69 = 226,696,537.69/x
  3. Step 3: Cross multiply
    103,614,410.25x = 226,696,537.69 × 226,696,537.69
  4. Step 4: Simplify right side
    103,614,410.25x = 51,391,320,199,500,104
  5. Step 5: Solve for x
    x = 51,391,320,199,500,104/103,614,410.25
  6. Step 6: Final answer
    x = 495,986,225.04

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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.