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Finding the Third Proportional to 123,308,139 and 271,023,846

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Solution

The third proportional to 123,308,139 and 271,023,846 is: 595,694,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,308,139 : 271,023,846 = 271,023,846 : x
  2. Step 2: Convert to fraction form
    123,308,139/271,023,846 = 271,023,846/x
  3. Step 3: Cross multiply
    123,308,139x = 271,023,846 × 271,023,846
  4. Step 4: Simplify right side
    123,308,139x = 73,453,925,100,631,712
  5. Step 5: Solve for x
    x = 73,453,925,100,631,712/123,308,139
  6. Step 6: Final answer
    x = 595,694,053.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.