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Finding the Third Proportional to 180,142,117 and 365,296,900

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Solution

The third proportional to 180,142,117 and 365,296,900 is: 740,758,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,142,117 : 365,296,900 = 365,296,900 : x
  2. Step 2: Convert to fraction form
    180,142,117/365,296,900 = 365,296,900/x
  3. Step 3: Cross multiply
    180,142,117x = 365,296,900 × 365,296,900
  4. Step 4: Simplify right side
    180,142,117x = 133,441,825,149,610,000
  5. Step 5: Solve for x
    x = 133,441,825,149,610,000/180,142,117
  6. Step 6: Final answer
    x = 740,758,615.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.