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Finding the Third Proportional to 98,968 and 215,700

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Solution

The third proportional to 98,968 and 215,700 is: 470,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,968 : 215,700 = 215,700 : x
  2. Step 2: Convert to fraction form
    98,968/215,700 = 215,700/x
  3. Step 3: Cross multiply
    98,968x = 215,700 × 215,700
  4. Step 4: Simplify right side
    98,968x = 46,526,490,000
  5. Step 5: Solve for x
    x = 46,526,490,000/98,968
  6. Step 6: Final answer
    x = 470,116.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.