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Finding the Third Proportional to 175,675,754 and 381,593,100

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Solution

The third proportional to 175,675,754 and 381,593,100 is: 828,875,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,675,754 : 381,593,100 = 381,593,100 : x
  2. Step 2: Convert to fraction form
    175,675,754/381,593,100 = 381,593,100/x
  3. Step 3: Cross multiply
    175,675,754x = 381,593,100 × 381,593,100
  4. Step 4: Simplify right side
    175,675,754x = 145,613,293,967,609,984
  5. Step 5: Solve for x
    x = 145,613,293,967,609,984/175,675,754
  6. Step 6: Final answer
    x = 828,875,303.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.