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Finding the Third Proportional to 147,345,525 and 320,831,626.50

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Solution

The third proportional to 147,345,525 and 320,831,626.50 is: 698,582,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,345,525 : 320,831,626.50 = 320,831,626.50 : x
  2. Step 2: Convert to fraction form
    147,345,525/320,831,626.50 = 320,831,626.50/x
  3. Step 3: Cross multiply
    147,345,525x = 320,831,626.50 × 320,831,626.50
  4. Step 4: Simplify right side
    147,345,525x = 102,932,932,562,635,504
  5. Step 5: Solve for x
    x = 102,932,932,562,635,504/147,345,525
  6. Step 6: Final answer
    x = 698,582,006.90

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