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Finding the Third Proportional to 85,353,500 and 186,896,632

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Solution

The third proportional to 85,353,500 and 186,896,632 is: 409,243,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,353,500 : 186,896,632 = 186,896,632 : x
  2. Step 2: Convert to fraction form
    85,353,500/186,896,632 = 186,896,632/x
  3. Step 3: Cross multiply
    85,353,500x = 186,896,632 × 186,896,632
  4. Step 4: Simplify right side
    85,353,500x = 34,930,351,052,943,424
  5. Step 5: Solve for x
    x = 34,930,351,052,943,424/85,353,500
  6. Step 6: Final answer
    x = 409,243,335.69

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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.