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Finding the Third Proportional to 160,847,019 and 248,549,608.69

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Solution

The third proportional to 160,847,019 and 248,549,608.69 is: 384,072,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,847,019 : 248,549,608.69 = 248,549,608.69 : x
  2. Step 2: Convert to fraction form
    160,847,019/248,549,608.69 = 248,549,608.69/x
  3. Step 3: Cross multiply
    160,847,019x = 248,549,608.69 × 248,549,608.69
  4. Step 4: Simplify right side
    160,847,019x = 61,776,907,978,709,376
  5. Step 5: Solve for x
    x = 61,776,907,978,709,376/160,847,019
  6. Step 6: Final answer
    x = 384,072,445.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.