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Finding the Third Proportional to 144,358,424 and 340,671,227

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Solution

The third proportional to 144,358,424 and 340,671,227 is: 803,949,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,358,424 : 340,671,227 = 340,671,227 : x
  2. Step 2: Convert to fraction form
    144,358,424/340,671,227 = 340,671,227/x
  3. Step 3: Cross multiply
    144,358,424x = 340,671,227 × 340,671,227
  4. Step 4: Simplify right side
    144,358,424x = 116,056,884,905,685,536
  5. Step 5: Solve for x
    x = 116,056,884,905,685,536/144,358,424
  6. Step 6: Final answer
    x = 803,949,514.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.