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Finding the Third Proportional to 57,744,671.50 and 120,265,842.25

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Solution

The third proportional to 57,744,671.50 and 120,265,842.25 is: 250,479,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,744,671.50 : 120,265,842.25 = 120,265,842.25 : x
  2. Step 2: Convert to fraction form
    57,744,671.50/120,265,842.25 = 120,265,842.25/x
  3. Step 3: Cross multiply
    57,744,671.50x = 120,265,842.25 × 120,265,842.25
  4. Step 4: Simplify right side
    57,744,671.50x = 14,463,872,812,101,886
  5. Step 5: Solve for x
    x = 14,463,872,812,101,886/57,744,671.50
  6. Step 6: Final answer
    x = 250,479,783.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.