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Finding the Third Proportional to 175,672,669.50 and 381,586,747.50

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Solution

The third proportional to 175,672,669.50 and 381,586,747.50 is: 828,862,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,672,669.50 : 381,586,747.50 = 381,586,747.50 : x
  2. Step 2: Convert to fraction form
    175,672,669.50/381,586,747.50 = 381,586,747.50/x
  3. Step 3: Cross multiply
    175,672,669.50x = 381,586,747.50 × 381,586,747.50
  4. Step 4: Simplify right side
    175,672,669.50x = 145,608,445,867,628,768
  5. Step 5: Solve for x
    x = 145,608,445,867,628,768/175,672,669.50
  6. Step 6: Final answer
    x = 828,862,260.03

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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.