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Finding the Third Proportional to 152,031,986 and 331,941,580

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Solution

The third proportional to 152,031,986 and 331,941,580 is: 724,750,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,031,986 : 331,941,580 = 331,941,580 : x
  2. Step 2: Convert to fraction form
    152,031,986/331,941,580 = 331,941,580/x
  3. Step 3: Cross multiply
    152,031,986x = 331,941,580 × 331,941,580
  4. Step 4: Simplify right side
    152,031,986x = 110,185,212,532,896,400
  5. Step 5: Solve for x
    x = 110,185,212,532,896,400/152,031,986
  6. Step 6: Final answer
    x = 724,750,201.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.