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Finding the Third Proportional to 102,738,980,034 and 157,179,135,786

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Solution

The third proportional to 102,738,980,034 and 157,179,135,786 is: 240,466,478,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,738,980,034 : 157,179,135,786 = 157,179,135,786 : x
  2. Step 2: Convert to fraction form
    102,738,980,034/157,179,135,786 = 157,179,135,786/x
  3. Step 3: Cross multiply
    102,738,980,034x = 157,179,135,786 × 157,179,135,786
  4. Step 4: Simplify right side
    102,738,980,034x = 24,705,280,726,433,827,651,584
  5. Step 5: Solve for x
    x = 24,705,280,726,433,827,651,584/102,738,980,034
  6. Step 6: Final answer
    x = 240,466,478,431.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.