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Finding the Third Proportional to 150,804,416,383 and 224,898,866,290

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Solution

The third proportional to 150,804,416,383 and 224,898,866,290 is: 335,398,002,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,804,416,383 : 224,898,866,290 = 224,898,866,290 : x
  2. Step 2: Convert to fraction form
    150,804,416,383/224,898,866,290 = 224,898,866,290/x
  3. Step 3: Cross multiply
    150,804,416,383x = 224,898,866,290 × 224,898,866,290
  4. Step 4: Simplify right side
    150,804,416,383x = 50,579,500,058,527,299,272,704
  5. Step 5: Solve for x
    x = 50,579,500,058,527,299,272,704/150,804,416,383
  6. Step 6: Final answer
    x = 335,398,002,735.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.