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Finding the Third Proportional to 148,334,211 and 218,213,176.50

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Solution

The third proportional to 148,334,211 and 218,213,176.50 is: 321,011,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,334,211 : 218,213,176.50 = 218,213,176.50 : x
  2. Step 2: Convert to fraction form
    148,334,211/218,213,176.50 = 218,213,176.50/x
  3. Step 3: Cross multiply
    148,334,211x = 218,213,176.50 × 218,213,176.50
  4. Step 4: Simplify right side
    148,334,211x = 47,616,990,398,220,152
  5. Step 5: Solve for x
    x = 47,616,990,398,220,152/148,334,211
  6. Step 6: Final answer
    x = 321,011,519.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.