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Finding the Third Proportional to 98,812.50 and 219,732

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Solution

The third proportional to 98,812.50 and 219,732 is: 488,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,812.50 : 219,732 = 219,732 : x
  2. Step 2: Convert to fraction form
    98,812.50/219,732 = 219,732/x
  3. Step 3: Cross multiply
    98,812.50x = 219,732 × 219,732
  4. Step 4: Simplify right side
    98,812.50x = 48,282,151,824
  5. Step 5: Solve for x
    x = 48,282,151,824/98,812.50
  6. Step 6: Final answer
    x = 488,623.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.