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Finding the Third Proportional to 98,095 and 218,397

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Solution

The third proportional to 98,095 and 218,397 is: 486,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,095 : 218,397 = 218,397 : x
  2. Step 2: Convert to fraction form
    98,095/218,397 = 218,397/x
  3. Step 3: Cross multiply
    98,095x = 218,397 × 218,397
  4. Step 4: Simplify right side
    98,095x = 47,697,249,609
  5. Step 5: Solve for x
    x = 47,697,249,609/98,095
  6. Step 6: Final answer
    x = 486,235.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.