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Finding the Third Proportional to 45,486 and 95,683.50

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Solution

The third proportional to 45,486 and 95,683.50 is: 201,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,486 : 95,683.50 = 95,683.50 : x
  2. Step 2: Convert to fraction form
    45,486/95,683.50 = 95,683.50/x
  3. Step 3: Cross multiply
    45,486x = 95,683.50 × 95,683.50
  4. Step 4: Simplify right side
    45,486x = 9,155,332,172.25
  5. Step 5: Solve for x
    x = 9,155,332,172.25/45,486
  6. Step 6: Final answer
    x = 201,278.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.