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Finding the Third Proportional to 238,027,920 and 360,634,635

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Solution

The third proportional to 238,027,920 and 360,634,635 is: 546,395,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,027,920 : 360,634,635 = 360,634,635 : x
  2. Step 2: Convert to fraction form
    238,027,920/360,634,635 = 360,634,635/x
  3. Step 3: Cross multiply
    238,027,920x = 360,634,635 × 360,634,635
  4. Step 4: Simplify right side
    238,027,920x = 130,057,339,961,583,232
  5. Step 5: Solve for x
    x = 130,057,339,961,583,232/238,027,920
  6. Step 6: Final answer
    x = 546,395,313.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.