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Finding the Third Proportional to 348,099,949.50 and 522,149,987.25

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Solution

The third proportional to 348,099,949.50 and 522,149,987.25 is: 783,225,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,099,949.50 : 522,149,987.25 = 522,149,987.25 : x
  2. Step 2: Convert to fraction form
    348,099,949.50/522,149,987.25 = 522,149,987.25/x
  3. Step 3: Cross multiply
    348,099,949.50x = 522,149,987.25 × 522,149,987.25
  4. Step 4: Simplify right side
    348,099,949.50x = 272,640,609,185,175,168
  5. Step 5: Solve for x
    x = 272,640,609,185,175,168/348,099,949.50
  6. Step 6: Final answer
    x = 783,225,075.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.