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Finding the Third Proportional to 106,699,995 and 160,049,981

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Solution

The third proportional to 106,699,995 and 160,049,981 is: 240,074,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,699,995 : 160,049,981 = 160,049,981 : x
  2. Step 2: Convert to fraction form
    106,699,995/160,049,981 = 160,049,981/x
  3. Step 3: Cross multiply
    106,699,995x = 160,049,981 × 160,049,981
  4. Step 4: Simplify right side
    106,699,995x = 25,615,996,418,100,360
  5. Step 5: Solve for x
    x = 25,615,996,418,100,360/106,699,995
  6. Step 6: Final answer
    x = 240,074,954.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.