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Finding the Third Proportional to 141,577,975,392 and 303,350,243,682

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Solution

The third proportional to 141,577,975,392 and 303,350,243,682 is: 649,969,531,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,577,975,392 : 303,350,243,682 = 303,350,243,682 : x
  2. Step 2: Convert to fraction form
    141,577,975,392/303,350,243,682 = 303,350,243,682/x
  3. Step 3: Cross multiply
    141,577,975,392x = 303,350,243,682 × 303,350,243,682
  4. Step 4: Simplify right side
    141,577,975,392x = 92,021,370,341,928,778,858,496
  5. Step 5: Solve for x
    x = 92,021,370,341,928,778,858,496/141,577,975,392
  6. Step 6: Final answer
    x = 649,969,531,540.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.