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Finding the Third Proportional to 95,781,138.19 and 210,103,662.38

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Solution

The third proportional to 95,781,138.19 and 210,103,662.38 is: 460,879,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,781,138.19 : 210,103,662.38 = 210,103,662.38 : x
  2. Step 2: Convert to fraction form
    95,781,138.19/210,103,662.38 = 210,103,662.38/x
  3. Step 3: Cross multiply
    95,781,138.19x = 210,103,662.38 × 210,103,662.38
  4. Step 4: Simplify right side
    95,781,138.19x = 44,143,548,943,387,992
  5. Step 5: Solve for x
    x = 44,143,548,943,387,992/95,781,138.19
  6. Step 6: Final answer
    x = 460,879,352.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.