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Finding the Third Proportional to 82,023,734.50 and 193,624,758

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Solution

The third proportional to 82,023,734.50 and 193,624,758 is: 457,069,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,023,734.50 : 193,624,758 = 193,624,758 : x
  2. Step 2: Convert to fraction form
    82,023,734.50/193,624,758 = 193,624,758/x
  3. Step 3: Cross multiply
    82,023,734.50x = 193,624,758 × 193,624,758
  4. Step 4: Simplify right side
    82,023,734.50x = 37,490,546,910,558,560
  5. Step 5: Solve for x
    x = 37,490,546,910,558,560/82,023,734.50
  6. Step 6: Final answer
    x = 457,069,495.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.