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Finding the Third Proportional to 146,531,456 and 220,122,413.50

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Solution

The third proportional to 146,531,456 and 220,122,413.50 is: 330,672,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,531,456 : 220,122,413.50 = 220,122,413.50 : x
  2. Step 2: Convert to fraction form
    146,531,456/220,122,413.50 = 220,122,413.50/x
  3. Step 3: Cross multiply
    146,531,456x = 220,122,413.50 × 220,122,413.50
  4. Step 4: Simplify right side
    146,531,456x = 48,453,876,925,064,984
  5. Step 5: Solve for x
    x = 48,453,876,925,064,984/146,531,456
  6. Step 6: Final answer
    x = 330,672,186.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.