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Finding the Third Proportional to 71,630,220 and 153,481,016

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Solution

The third proportional to 71,630,220 and 153,481,016 is: 328,861,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,630,220 : 153,481,016 = 153,481,016 : x
  2. Step 2: Convert to fraction form
    71,630,220/153,481,016 = 153,481,016/x
  3. Step 3: Cross multiply
    71,630,220x = 153,481,016 × 153,481,016
  4. Step 4: Simplify right side
    71,630,220x = 23,556,422,272,392,256
  5. Step 5: Solve for x
    x = 23,556,422,272,392,256/71,630,220
  6. Step 6: Final answer
    x = 328,861,509.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.