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Finding the Third Proportional to 148,205,122,576 and 229,001,485,848

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Solution

The third proportional to 148,205,122,576 and 229,001,485,848 is: 353,845,262,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,205,122,576 : 229,001,485,848 = 229,001,485,848 : x
  2. Step 2: Convert to fraction form
    148,205,122,576/229,001,485,848 = 229,001,485,848/x
  3. Step 3: Cross multiply
    148,205,122,576x = 229,001,485,848 × 229,001,485,848
  4. Step 4: Simplify right side
    148,205,122,576x = 52,441,680,520,591,743,909,888
  5. Step 5: Solve for x
    x = 52,441,680,520,591,743,909,888/148,205,122,576
  6. Step 6: Final answer
    x = 353,845,262,627.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.