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Finding the Third Proportional to 105,502,634 and 224,940,724

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Solution

The third proportional to 105,502,634 and 224,940,724 is: 479,593,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,502,634 : 224,940,724 = 224,940,724 : x
  2. Step 2: Convert to fraction form
    105,502,634/224,940,724 = 224,940,724/x
  3. Step 3: Cross multiply
    105,502,634x = 224,940,724 × 224,940,724
  4. Step 4: Simplify right side
    105,502,634x = 50,598,329,313,644,176
  5. Step 5: Solve for x
    x = 50,598,329,313,644,176/105,502,634
  6. Step 6: Final answer
    x = 479,593,043.28

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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.