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Finding the Third Proportional to 98,121,535,021 and 212,989,253,204

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Solution

The third proportional to 98,121,535,021 and 212,989,253,204 is: 462,328,906,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,121,535,021 : 212,989,253,204 = 212,989,253,204 : x
  2. Step 2: Convert to fraction form
    98,121,535,021/212,989,253,204 = 212,989,253,204/x
  3. Step 3: Cross multiply
    98,121,535,021x = 212,989,253,204 × 212,989,253,204
  4. Step 4: Simplify right side
    98,121,535,021x = 45,364,421,980,397,626,195,968
  5. Step 5: Solve for x
    x = 45,364,421,980,397,626,195,968/98,121,535,021
  6. Step 6: Final answer
    x = 462,328,906,398.47

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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.