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Finding the Third Proportional to 46,545.75 and 100,471.50

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Solution

The third proportional to 46,545.75 and 100,471.50 is: 216,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,545.75 : 100,471.50 = 100,471.50 : x
  2. Step 2: Convert to fraction form
    46,545.75/100,471.50 = 100,471.50/x
  3. Step 3: Cross multiply
    46,545.75x = 100,471.50 × 100,471.50
  4. Step 4: Simplify right side
    46,545.75x = 10,094,522,312.25
  5. Step 5: Solve for x
    x = 10,094,522,312.25/46,545.75
  6. Step 6: Final answer
    x = 216,873.13

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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.