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Finding the Third Proportional to 105,738,804 and 161,647,386

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Solution

The third proportional to 105,738,804 and 161,647,386 is: 247,117,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,738,804 : 161,647,386 = 161,647,386 : x
  2. Step 2: Convert to fraction form
    105,738,804/161,647,386 = 161,647,386/x
  3. Step 3: Cross multiply
    105,738,804x = 161,647,386 × 161,647,386
  4. Step 4: Simplify right side
    105,738,804x = 26,129,877,400,632,996
  5. Step 5: Solve for x
    x = 26,129,877,400,632,996/105,738,804
  6. Step 6: Final answer
    x = 247,117,202.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.