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Finding the Third Proportional to 106,223,793.75 and 228,590,105.06

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Solution

The third proportional to 106,223,793.75 and 228,590,105.06 is: 491,918,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,223,793.75 : 228,590,105.06 = 228,590,105.06 : x
  2. Step 2: Convert to fraction form
    106,223,793.75/228,590,105.06 = 228,590,105.06/x
  3. Step 3: Cross multiply
    106,223,793.75x = 228,590,105.06 × 228,590,105.06
  4. Step 4: Simplify right side
    106,223,793.75x = 52,253,436,132,484,792
  5. Step 5: Solve for x
    x = 52,253,436,132,484,792/106,223,793.75
  6. Step 6: Final answer
    x = 491,918,376.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.