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Finding the Third Proportional to 100,625,088 and 150,336,058.50

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Solution

The third proportional to 100,625,088 and 150,336,058.50 is: 224,605,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,625,088 : 150,336,058.50 = 150,336,058.50 : x
  2. Step 2: Convert to fraction form
    100,625,088/150,336,058.50 = 150,336,058.50/x
  3. Step 3: Cross multiply
    100,625,088x = 150,336,058.50 × 150,336,058.50
  4. Step 4: Simplify right side
    100,625,088x = 22,600,930,485,315,424
  5. Step 5: Solve for x
    x = 22,600,930,485,315,424/100,625,088
  6. Step 6: Final answer
    x = 224,605,323.93

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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.