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Finding the Third Proportional to 110,009,310 and 233,132,355

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Solution

The third proportional to 110,009,310 and 233,132,355 is: 494,055,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,009,310 : 233,132,355 = 233,132,355 : x
  2. Step 2: Convert to fraction form
    110,009,310/233,132,355 = 233,132,355/x
  3. Step 3: Cross multiply
    110,009,310x = 233,132,355 × 233,132,355
  4. Step 4: Simplify right side
    110,009,310x = 54,350,694,947,846,024
  5. Step 5: Solve for x
    x = 54,350,694,947,846,024/110,009,310
  6. Step 6: Final answer
    x = 494,055,411.75

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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.