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Finding the Third Proportional to 103,622,315 and 214,581,286

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Solution

The third proportional to 103,622,315 and 214,581,286 is: 444,355,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,622,315 : 214,581,286 = 214,581,286 : x
  2. Step 2: Convert to fraction form
    103,622,315/214,581,286 = 214,581,286/x
  3. Step 3: Cross multiply
    103,622,315x = 214,581,286 × 214,581,286
  4. Step 4: Simplify right side
    103,622,315x = 46,045,128,301,413,792
  5. Step 5: Solve for x
    x = 46,045,128,301,413,792/103,622,315
  6. Step 6: Final answer
    x = 444,355,333.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.