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Finding the Third Proportional to 153,627,550 and 224,608,848

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Solution

The third proportional to 153,627,550 and 224,608,848 is: 328,385,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,627,550 : 224,608,848 = 224,608,848 : x
  2. Step 2: Convert to fraction form
    153,627,550/224,608,848 = 224,608,848/x
  3. Step 3: Cross multiply
    153,627,550x = 224,608,848 × 224,608,848
  4. Step 4: Simplify right side
    153,627,550x = 50,449,134,599,887,104
  5. Step 5: Solve for x
    x = 50,449,134,599,887,104/153,627,550
  6. Step 6: Final answer
    x = 328,385,986.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.