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Finding the Third Proportional to 46,857.23 and 101,209.50

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Solution

The third proportional to 46,857.23 and 101,209.50 is: 218,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,857.23 : 101,209.50 = 101,209.50 : x
  2. Step 2: Convert to fraction form
    46,857.23/101,209.50 = 101,209.50/x
  3. Step 3: Cross multiply
    46,857.23x = 101,209.50 × 101,209.50
  4. Step 4: Simplify right side
    46,857.23x = 10,243,362,890.25
  5. Step 5: Solve for x
    x = 10,243,362,890.25/46,857.23
  6. Step 6: Final answer
    x = 218,607.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.