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Finding the Third Proportional to 110,010,040 and 233,133,655

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Solution

The third proportional to 110,010,040 and 233,133,655 is: 494,057,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,010,040 : 233,133,655 = 233,133,655 : x
  2. Step 2: Convert to fraction form
    110,010,040/233,133,655 = 233,133,655/x
  3. Step 3: Cross multiply
    110,010,040x = 233,133,655 × 233,133,655
  4. Step 4: Simplify right side
    110,010,040x = 54,351,301,093,659,024
  5. Step 5: Solve for x
    x = 54,351,301,093,659,024/110,010,040
  6. Step 6: Final answer
    x = 494,057,643.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.