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Finding the Third Proportional to 46,776 and 99,164

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Solution

The third proportional to 46,776 and 99,164 is: 210,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,776 : 99,164 = 99,164 : x
  2. Step 2: Convert to fraction form
    46,776/99,164 = 99,164/x
  3. Step 3: Cross multiply
    46,776x = 99,164 × 99,164
  4. Step 4: Simplify right side
    46,776x = 9,833,498,896
  5. Step 5: Solve for x
    x = 9,833,498,896/46,776
  6. Step 6: Final answer
    x = 210,225.31

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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.