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Finding the Third Proportional to 105,116,546 and 224,760,100

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Solution

The third proportional to 105,116,546 and 224,760,100 is: 480,581,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,116,546 : 224,760,100 = 224,760,100 : x
  2. Step 2: Convert to fraction form
    105,116,546/224,760,100 = 224,760,100/x
  3. Step 3: Cross multiply
    105,116,546x = 224,760,100 × 224,760,100
  4. Step 4: Simplify right side
    105,116,546x = 50,517,102,552,010,000
  5. Step 5: Solve for x
    x = 50,517,102,552,010,000/105,116,546
  6. Step 6: Final answer
    x = 480,581,834.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.