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Finding the Third Proportional to 190,291,723.50 and 302,794,684.50

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Solution

The third proportional to 190,291,723.50 and 302,794,684.50 is: 481,810,870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,291,723.50 : 302,794,684.50 = 302,794,684.50 : x
  2. Step 2: Convert to fraction form
    190,291,723.50/302,794,684.50 = 302,794,684.50/x
  3. Step 3: Cross multiply
    190,291,723.50x = 302,794,684.50 × 302,794,684.50
  4. Step 4: Simplify right side
    190,291,723.50x = 91,684,620,961,454,544
  5. Step 5: Solve for x
    x = 91,684,620,961,454,544/190,291,723.50
  6. Step 6: Final answer
    x = 481,810,870.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.