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Finding the Third Proportional to 190,170,360 and 285,709,788

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Solution

The third proportional to 190,170,360 and 285,709,788 is: 429,247,139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,170,360 : 285,709,788 = 285,709,788 : x
  2. Step 2: Convert to fraction form
    190,170,360/285,709,788 = 285,709,788/x
  3. Step 3: Cross multiply
    190,170,360x = 285,709,788 × 285,709,788
  4. Step 4: Simplify right side
    190,170,360x = 81,630,082,959,004,944
  5. Step 5: Solve for x
    x = 81,630,082,959,004,944/190,170,360
  6. Step 6: Final answer
    x = 429,247,139.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.