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Finding the Third Proportional to 46,804 and 99,152

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Solution

The third proportional to 46,804 and 99,152 is: 210,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,804 : 99,152 = 99,152 : x
  2. Step 2: Convert to fraction form
    46,804/99,152 = 99,152/x
  3. Step 3: Cross multiply
    46,804x = 99,152 × 99,152
  4. Step 4: Simplify right side
    46,804x = 9,831,119,104
  5. Step 5: Solve for x
    x = 9,831,119,104/46,804
  6. Step 6: Final answer
    x = 210,048.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.