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Finding the Third Proportional to 148,309,899 and 313,434,891

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Solution

The third proportional to 148,309,899 and 313,434,891 is: 662,406,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,309,899 : 313,434,891 = 313,434,891 : x
  2. Step 2: Convert to fraction form
    148,309,899/313,434,891 = 313,434,891/x
  3. Step 3: Cross multiply
    148,309,899x = 313,434,891 × 313,434,891
  4. Step 4: Simplify right side
    148,309,899x = 98,241,430,896,181,888
  5. Step 5: Solve for x
    x = 98,241,430,896,181,888/148,309,899
  6. Step 6: Final answer
    x = 662,406,431.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.