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Finding the Third Proportional to 188,583,411.75 and 281,713,729.50

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Solution

The third proportional to 188,583,411.75 and 281,713,729.50 is: 420,835,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,583,411.75 : 281,713,729.50 = 281,713,729.50 : x
  2. Step 2: Convert to fraction form
    188,583,411.75/281,713,729.50 = 281,713,729.50/x
  3. Step 3: Cross multiply
    188,583,411.75x = 281,713,729.50 × 281,713,729.50
  4. Step 4: Simplify right side
    188,583,411.75x = 79,362,625,388,799,168
  5. Step 5: Solve for x
    x = 79,362,625,388,799,168/188,583,411.75
  6. Step 6: Final answer
    x = 420,835,664.45

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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.