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Finding the Third Proportional to 98,751 and 216,253.50

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Solution

The third proportional to 98,751 and 216,253.50 is: 473,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,751 : 216,253.50 = 216,253.50 : x
  2. Step 2: Convert to fraction form
    98,751/216,253.50 = 216,253.50/x
  3. Step 3: Cross multiply
    98,751x = 216,253.50 × 216,253.50
  4. Step 4: Simplify right side
    98,751x = 46,765,576,262.25
  5. Step 5: Solve for x
    x = 46,765,576,262.25/98,751
  6. Step 6: Final answer
    x = 473,570.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.