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Finding the Third Proportional to 242,265,641 and 525,419,218

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Solution

The third proportional to 242,265,641 and 525,419,218 is: 1,139,515,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,265,641 : 525,419,218 = 525,419,218 : x
  2. Step 2: Convert to fraction form
    242,265,641/525,419,218 = 525,419,218/x
  3. Step 3: Cross multiply
    242,265,641x = 525,419,218 × 525,419,218
  4. Step 4: Simplify right side
    242,265,641x = 276,065,354,643,731,520
  5. Step 5: Solve for x
    x = 276,065,354,643,731,520/242,265,641
  6. Step 6: Final answer
    x = 1,139,515,093.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.