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Finding the Third Proportional to 105,792,392.25 and 224,385,342.75

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Solution

The third proportional to 105,792,392.25 and 224,385,342.75 is: 475,920,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,792,392.25 : 224,385,342.75 = 224,385,342.75 : x
  2. Step 2: Convert to fraction form
    105,792,392.25/224,385,342.75 = 224,385,342.75/x
  3. Step 3: Cross multiply
    105,792,392.25x = 224,385,342.75 × 224,385,342.75
  4. Step 4: Simplify right side
    105,792,392.25x = 50,348,782,041,034,976
  5. Step 5: Solve for x
    x = 50,348,782,041,034,976/105,792,392.25
  6. Step 6: Final answer
    x = 475,920,630.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.