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Finding the Third Proportional to 105,739,075 and 161,647,788

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Solution

The third proportional to 105,739,075 and 161,647,788 is: 247,117,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,739,075 : 161,647,788 = 161,647,788 : x
  2. Step 2: Convert to fraction form
    105,739,075/161,647,788 = 161,647,788/x
  3. Step 3: Cross multiply
    105,739,075x = 161,647,788 × 161,647,788
  4. Step 4: Simplify right side
    105,739,075x = 26,130,007,365,292,944
  5. Step 5: Solve for x
    x = 26,130,007,365,292,944/105,739,075
  6. Step 6: Final answer
    x = 247,117,797.89

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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.