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Finding the Third Proportional to 91,836,856 and 201,586,688

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Solution

The third proportional to 91,836,856 and 201,586,688 is: 442,493,292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,836,856 : 201,586,688 = 201,586,688 : x
  2. Step 2: Convert to fraction form
    91,836,856/201,586,688 = 201,586,688/x
  3. Step 3: Cross multiply
    91,836,856x = 201,586,688 × 201,586,688
  4. Step 4: Simplify right side
    91,836,856x = 40,637,192,778,809,344
  5. Step 5: Solve for x
    x = 40,637,192,778,809,344/91,836,856
  6. Step 6: Final answer
    x = 442,493,292.44

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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.