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Finding the Third Proportional to 41,688,114.75 and 90,552,687.75

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Solution

The third proportional to 41,688,114.75 and 90,552,687.75 is: 196,693,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,688,114.75 : 90,552,687.75 = 90,552,687.75 : x
  2. Step 2: Convert to fraction form
    41,688,114.75/90,552,687.75 = 90,552,687.75/x
  3. Step 3: Cross multiply
    41,688,114.75x = 90,552,687.75 × 90,552,687.75
  4. Step 4: Simplify right side
    41,688,114.75x = 8,199,789,258,749,000
  5. Step 5: Solve for x
    x = 8,199,789,258,749,000/41,688,114.75
  6. Step 6: Final answer
    x = 196,693,693.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.