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Finding the Third Proportional to 141,608,592 and 218,701,728

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Solution

The third proportional to 141,608,592 and 218,701,728 is: 337,765,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,608,592 : 218,701,728 = 218,701,728 : x
  2. Step 2: Convert to fraction form
    141,608,592/218,701,728 = 218,701,728/x
  3. Step 3: Cross multiply
    141,608,592x = 218,701,728 × 218,701,728
  4. Step 4: Simplify right side
    141,608,592x = 47,830,445,830,185,984
  5. Step 5: Solve for x
    x = 47,830,445,830,185,984/141,608,592
  6. Step 6: Final answer
    x = 337,765,139.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.