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Finding the Third Proportional to 91,836,920 and 201,586,816

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Solution

The third proportional to 91,836,920 and 201,586,816 is: 442,493,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,836,920 : 201,586,816 = 201,586,816 : x
  2. Step 2: Convert to fraction form
    91,836,920/201,586,816 = 201,586,816/x
  3. Step 3: Cross multiply
    91,836,920x = 201,586,816 × 201,586,816
  4. Step 4: Simplify right side
    91,836,920x = 40,637,244,385,017,856
  5. Step 5: Solve for x
    x = 40,637,244,385,017,856/91,836,920
  6. Step 6: Final answer
    x = 442,493,546.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.