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Finding the Third Proportional to 105,502,610 and 224,940,676

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Solution

The third proportional to 105,502,610 and 224,940,676 is: 479,592,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,502,610 : 224,940,676 = 224,940,676 : x
  2. Step 2: Convert to fraction form
    105,502,610/224,940,676 = 224,940,676/x
  3. Step 3: Cross multiply
    105,502,610x = 224,940,676 × 224,940,676
  4. Step 4: Simplify right side
    105,502,610x = 50,598,307,719,336,976
  5. Step 5: Solve for x
    x = 50,598,307,719,336,976/105,502,610
  6. Step 6: Final answer
    x = 479,592,947.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.