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Finding the Third Proportional to 147,345,664 and 320,831,891

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Solution

The third proportional to 147,345,664 and 320,831,891 is: 698,582,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,345,664 : 320,831,891 = 320,831,891 : x
  2. Step 2: Convert to fraction form
    147,345,664/320,831,891 = 320,831,891/x
  3. Step 3: Cross multiply
    147,345,664x = 320,831,891 × 320,831,891
  4. Step 4: Simplify right side
    147,345,664x = 102,933,102,282,635,888
  5. Step 5: Solve for x
    x = 102,933,102,282,635,888/147,345,664
  6. Step 6: Final answer
    x = 698,582,499.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.