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Finding the Third Proportional to 46,299.09 and 101,209.50

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Solution

The third proportional to 46,299.09 and 101,209.50 is: 221,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,299.09 : 101,209.50 = 101,209.50 : x
  2. Step 2: Convert to fraction form
    46,299.09/101,209.50 = 101,209.50/x
  3. Step 3: Cross multiply
    46,299.09x = 101,209.50 × 101,209.50
  4. Step 4: Simplify right side
    46,299.09x = 10,243,362,890.25
  5. Step 5: Solve for x
    x = 10,243,362,890.25/46,299.09
  6. Step 6: Final answer
    x = 221,243.27

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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.