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Finding the Third Proportional to 45,848.75 and 100,445.50

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Solution

The third proportional to 45,848.75 and 100,445.50 is: 220,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,848.75 : 100,445.50 = 100,445.50 : x
  2. Step 2: Convert to fraction form
    45,848.75/100,445.50 = 100,445.50/x
  3. Step 3: Cross multiply
    45,848.75x = 100,445.50 × 100,445.50
  4. Step 4: Simplify right side
    45,848.75x = 10,089,298,470.25
  5. Step 5: Solve for x
    x = 10,089,298,470.25/45,848.75
  6. Step 6: Final answer
    x = 220,056.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.