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Finding the Third Proportional to 220,326,051 and 333,322,770

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Solution

The third proportional to 220,326,051 and 333,322,770 is: 504,271,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,326,051 : 333,322,770 = 333,322,770 : x
  2. Step 2: Convert to fraction form
    220,326,051/333,322,770 = 333,322,770/x
  3. Step 3: Cross multiply
    220,326,051x = 333,322,770 × 333,322,770
  4. Step 4: Simplify right side
    220,326,051x = 111,104,069,000,472,896
  5. Step 5: Solve for x
    x = 111,104,069,000,472,896/220,326,051
  6. Step 6: Final answer
    x = 504,271,140.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.