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Finding the Third Proportional to 171,585,417.75 and 241,630,077.75

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Solution

The third proportional to 171,585,417.75 and 241,630,077.75 is: 340,268,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,585,417.75 : 241,630,077.75 = 241,630,077.75 : x
  2. Step 2: Convert to fraction form
    171,585,417.75/241,630,077.75 = 241,630,077.75/x
  3. Step 3: Cross multiply
    171,585,417.75x = 241,630,077.75 × 241,630,077.75
  4. Step 4: Simplify right side
    171,585,417.75x = 58,385,094,473,471,048
  5. Step 5: Solve for x
    x = 58,385,094,473,471,048/171,585,417.75
  6. Step 6: Final answer
    x = 340,268,393.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.