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Finding the Third Proportional to 160,846,565 and 248,548,958

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Solution

The third proportional to 160,846,565 and 248,548,958 is: 384,071,518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,846,565 : 248,548,958 = 248,548,958 : x
  2. Step 2: Convert to fraction form
    160,846,565/248,548,958 = 248,548,958/x
  3. Step 3: Cross multiply
    160,846,565x = 248,548,958 × 248,548,958
  4. Step 4: Simplify right side
    160,846,565x = 61,776,584,522,885,760
  5. Step 5: Solve for x
    x = 61,776,584,522,885,760/160,846,565
  6. Step 6: Final answer
    x = 384,071,518.86

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Why These Related Problems?

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