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Finding the Third Proportional to 188,583,415.50 and 281,713,734

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Solution

The third proportional to 188,583,415.50 and 281,713,734 is: 420,835,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,583,415.50 : 281,713,734 = 281,713,734 : x
  2. Step 2: Convert to fraction form
    188,583,415.50/281,713,734 = 281,713,734/x
  3. Step 3: Cross multiply
    188,583,415.50x = 281,713,734 × 281,713,734
  4. Step 4: Simplify right side
    188,583,415.50x = 79,362,627,924,222,752
  5. Step 5: Solve for x
    x = 79,362,627,924,222,752/188,583,415.50
  6. Step 6: Final answer
    x = 420,835,669.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.