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Finding the Third Proportional to 171,821,108,496 and 348,541,483,056

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Solution

The third proportional to 171,821,108,496 and 348,541,483,056 is: 707,021,194,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,821,108,496 : 348,541,483,056 = 348,541,483,056 : x
  2. Step 2: Convert to fraction form
    171,821,108,496/348,541,483,056 = 348,541,483,056/x
  3. Step 3: Cross multiply
    171,821,108,496x = 348,541,483,056 × 348,541,483,056
  4. Step 4: Simplify right side
    171,821,108,496x = 121,481,165,410,875,941,584,896
  5. Step 5: Solve for x
    x = 121,481,165,410,875,941,584,896/171,821,108,496
  6. Step 6: Final answer
    x = 707,021,194,742.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.