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Finding the Third Proportional to 85,212,576 and 186,368,432

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Solution

The third proportional to 85,212,576 and 186,368,432 is: 407,606,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,212,576 : 186,368,432 = 186,368,432 : x
  2. Step 2: Convert to fraction form
    85,212,576/186,368,432 = 186,368,432/x
  3. Step 3: Cross multiply
    85,212,576x = 186,368,432 × 186,368,432
  4. Step 4: Simplify right side
    85,212,576x = 34,733,192,446,138,624
  5. Step 5: Solve for x
    x = 34,733,192,446,138,624/85,212,576
  6. Step 6: Final answer
    x = 407,606,413.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.