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Finding the Third Proportional to 98,968 and 207,658

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Solution

The third proportional to 98,968 and 207,658 is: 435,715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,968 : 207,658 = 207,658 : x
  2. Step 2: Convert to fraction form
    98,968/207,658 = 207,658/x
  3. Step 3: Cross multiply
    98,968x = 207,658 × 207,658
  4. Step 4: Simplify right side
    98,968x = 43,121,844,964
  5. Step 5: Solve for x
    x = 43,121,844,964/98,968
  6. Step 6: Final answer
    x = 435,715.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.