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Finding the Third Proportional to 225,985,261.50 and 319,856,890.50

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Solution

The third proportional to 225,985,261.50 and 319,856,890.50 is: 452,721,693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,985,261.50 : 319,856,890.50 = 319,856,890.50 : x
  2. Step 2: Convert to fraction form
    225,985,261.50/319,856,890.50 = 319,856,890.50/x
  3. Step 3: Cross multiply
    225,985,261.50x = 319,856,890.50 × 319,856,890.50
  4. Step 4: Simplify right side
    225,985,261.50x = 102,308,430,400,328,992
  5. Step 5: Solve for x
    x = 102,308,430,400,328,992/225,985,261.50
  6. Step 6: Final answer
    x = 452,721,693.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.