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Finding the Third Proportional to 103,622,313 and 214,581,282

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Solution

The third proportional to 103,622,313 and 214,581,282 is: 444,355,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,622,313 : 214,581,282 = 214,581,282 : x
  2. Step 2: Convert to fraction form
    103,622,313/214,581,282 = 214,581,282/x
  3. Step 3: Cross multiply
    103,622,313x = 214,581,282 × 214,581,282
  4. Step 4: Simplify right side
    103,622,313x = 46,045,126,584,763,520
  5. Step 5: Solve for x
    x = 46,045,126,584,763,520/103,622,313
  6. Step 6: Final answer
    x = 444,355,325.14

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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.