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Finding the Third Proportional to 175,672,658.25 and 381,586,727.25

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Solution

The third proportional to 175,672,658.25 and 381,586,727.25 is: 828,862,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,672,658.25 : 381,586,727.25 = 381,586,727.25 : x
  2. Step 2: Convert to fraction form
    175,672,658.25/381,586,727.25 = 381,586,727.25/x
  3. Step 3: Cross multiply
    175,672,658.25x = 381,586,727.25 × 381,586,727.25
  4. Step 4: Simplify right side
    175,672,658.25x = 145,608,430,413,365,888
  5. Step 5: Solve for x
    x = 145,608,430,413,365,888/175,672,658.25
  6. Step 6: Final answer
    x = 828,862,225.14

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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.