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Finding the Third Proportional to 23,291,353.50 and 48,992,170.50

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Solution

The third proportional to 23,291,353.50 and 48,992,170.50 is: 103,052,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291,353.50 : 48,992,170.50 = 48,992,170.50 : x
  2. Step 2: Convert to fraction form
    23,291,353.50/48,992,170.50 = 48,992,170.50/x
  3. Step 3: Cross multiply
    23,291,353.50x = 48,992,170.50 × 48,992,170.50
  4. Step 4: Simplify right side
    23,291,353.50x = 2,400,232,770,301,070
  5. Step 5: Solve for x
    x = 2,400,232,770,301,070/23,291,353.50
  6. Step 6: Final answer
    x = 103,052,524.20

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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.