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Finding the Third Proportional to 188,583,513 and 281,713,918.50

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Solution

The third proportional to 188,583,513 and 281,713,918.50 is: 420,836,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,583,513 : 281,713,918.50 = 281,713,918.50 : x
  2. Step 2: Convert to fraction form
    188,583,513/281,713,918.50 = 281,713,918.50/x
  3. Step 3: Cross multiply
    188,583,513x = 281,713,918.50 × 281,713,918.50
  4. Step 4: Simplify right side
    188,583,513x = 79,362,731,876,624,640
  5. Step 5: Solve for x
    x = 79,362,731,876,624,640/188,583,513
  6. Step 6: Final answer
    x = 420,836,003.18

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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.