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Finding the Third Proportional to 102,690,094 and 225,535,580

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Solution

The third proportional to 102,690,094 and 225,535,580 is: 495,337,922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,690,094 : 225,535,580 = 225,535,580 : x
  2. Step 2: Convert to fraction form
    102,690,094/225,535,580 = 225,535,580/x
  3. Step 3: Cross multiply
    102,690,094x = 225,535,580 × 225,535,580
  4. Step 4: Simplify right side
    102,690,094x = 50,866,297,845,936,400
  5. Step 5: Solve for x
    x = 50,866,297,845,936,400/102,690,094
  6. Step 6: Final answer
    x = 495,337,922.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.