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Finding the Third Proportional to 223,954,362 and 320,255,120

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Solution

The third proportional to 223,954,362 and 320,255,120 is: 457,965,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,954,362 : 320,255,120 = 320,255,120 : x
  2. Step 2: Convert to fraction form
    223,954,362/320,255,120 = 320,255,120/x
  3. Step 3: Cross multiply
    223,954,362x = 320,255,120 × 320,255,120
  4. Step 4: Simplify right side
    223,954,362x = 102,563,341,886,214,400
  5. Step 5: Solve for x
    x = 102,563,341,886,214,400/223,954,362
  6. Step 6: Final answer
    x = 457,965,368.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.