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Finding the Third Proportional to 46,588.50 and 101,637

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Solution

The third proportional to 46,588.50 and 101,637 is: 221,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,588.50 : 101,637 = 101,637 : x
  2. Step 2: Convert to fraction form
    46,588.50/101,637 = 101,637/x
  3. Step 3: Cross multiply
    46,588.50x = 101,637 × 101,637
  4. Step 4: Simplify right side
    46,588.50x = 10,330,079,769
  5. Step 5: Solve for x
    x = 10,330,079,769/46,588.50
  6. Step 6: Final answer
    x = 221,730.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.