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Finding the Third Proportional to 41,823,014.50 and 90,594,128

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Solution

The third proportional to 41,823,014.50 and 90,594,128 is: 196,238,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,823,014.50 : 90,594,128 = 90,594,128 : x
  2. Step 2: Convert to fraction form
    41,823,014.50/90,594,128 = 90,594,128/x
  3. Step 3: Cross multiply
    41,823,014.50x = 90,594,128 × 90,594,128
  4. Step 4: Simplify right side
    41,823,014.50x = 8,207,296,028,080,384
  5. Step 5: Solve for x
    x = 8,207,296,028,080,384/41,823,014.50
  6. Step 6: Final answer
    x = 196,238,748.60

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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.