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Finding the Third Proportional to 75,823,164 and 163,728,405

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Solution

The third proportional to 75,823,164 and 163,728,405 is: 353,546,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,823,164 : 163,728,405 = 163,728,405 : x
  2. Step 2: Convert to fraction form
    75,823,164/163,728,405 = 163,728,405/x
  3. Step 3: Cross multiply
    75,823,164x = 163,728,405 × 163,728,405
  4. Step 4: Simplify right side
    75,823,164x = 26,806,990,603,844,024
  5. Step 5: Solve for x
    x = 26,806,990,603,844,024/75,823,164
  6. Step 6: Final answer
    x = 353,546,188.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.