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Finding the Third Proportional to 105,502,647 and 224,940,750

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Solution

The third proportional to 105,502,647 and 224,940,750 is: 479,593,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,502,647 : 224,940,750 = 224,940,750 : x
  2. Step 2: Convert to fraction form
    105,502,647/224,940,750 = 224,940,750/x
  3. Step 3: Cross multiply
    105,502,647x = 224,940,750 × 224,940,750
  4. Step 4: Simplify right side
    105,502,647x = 50,598,341,010,562,496
  5. Step 5: Solve for x
    x = 50,598,341,010,562,496/105,502,647
  6. Step 6: Final answer
    x = 479,593,095.05

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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.