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Finding the Third Proportional to 131,850,585 and 193,965,394.50

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Solution

The third proportional to 131,850,585 and 193,965,394.50 is: 285,342,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,850,585 : 193,965,394.50 = 193,965,394.50 : x
  2. Step 2: Convert to fraction form
    131,850,585/193,965,394.50 = 193,965,394.50/x
  3. Step 3: Cross multiply
    131,850,585x = 193,965,394.50 × 193,965,394.50
  4. Step 4: Simplify right side
    131,850,585x = 37,622,574,263,540,632
  5. Step 5: Solve for x
    x = 37,622,574,263,540,632/131,850,585
  6. Step 6: Final answer
    x = 285,342,490.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.