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Finding the Third Proportional to 538,097,395.50 and 769,480,192.50

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Solution

The third proportional to 538,097,395.50 and 769,480,192.50 is: 1,100,357,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,097,395.50 : 769,480,192.50 = 769,480,192.50 : x
  2. Step 2: Convert to fraction form
    538,097,395.50/769,480,192.50 = 769,480,192.50/x
  3. Step 3: Cross multiply
    538,097,395.50x = 769,480,192.50 × 769,480,192.50
  4. Step 4: Simplify right side
    538,097,395.50x = 592,099,766,649,837,056
  5. Step 5: Solve for x
    x = 592,099,766,649,837,056/538,097,395.50
  6. Step 6: Final answer
    x = 1,100,357,986.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.