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Finding the Third Proportional to 105,502,641 and 224,940,738

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Solution

The third proportional to 105,502,641 and 224,940,738 is: 479,593,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,502,641 : 224,940,738 = 224,940,738 : x
  2. Step 2: Convert to fraction form
    105,502,641/224,940,738 = 224,940,738/x
  3. Step 3: Cross multiply
    105,502,641x = 224,940,738 × 224,940,738
  4. Step 4: Simplify right side
    105,502,641x = 50,598,335,611,984,640
  5. Step 5: Solve for x
    x = 50,598,335,611,984,640/105,502,641
  6. Step 6: Final answer
    x = 479,593,071.15

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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.