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Finding the Third Proportional to 180,236,394 and 370,027,662.75

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Solution

The third proportional to 180,236,394 and 370,027,662.75 is: 759,671,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,236,394 : 370,027,662.75 = 370,027,662.75 : x
  2. Step 2: Convert to fraction form
    180,236,394/370,027,662.75 = 370,027,662.75/x
  3. Step 3: Cross multiply
    180,236,394x = 370,027,662.75 × 370,027,662.75
  4. Step 4: Simplify right side
    180,236,394x = 136,920,471,200,227,744
  5. Step 5: Solve for x
    x = 136,920,471,200,227,744/180,236,394
  6. Step 6: Final answer
    x = 759,671,607.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.