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Finding the Third Proportional to 190,320,493 and 302,837,319

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Solution

The third proportional to 190,320,493 and 302,837,319 is: 481,873,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,320,493 : 302,837,319 = 302,837,319 : x
  2. Step 2: Convert to fraction form
    190,320,493/302,837,319 = 302,837,319/x
  3. Step 3: Cross multiply
    190,320,493x = 302,837,319 × 302,837,319
  4. Step 4: Simplify right side
    190,320,493x = 91,710,441,779,107,760
  5. Step 5: Solve for x
    x = 91,710,441,779,107,760/190,320,493
  6. Step 6: Final answer
    x = 481,873,708.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.