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Finding the Third Proportional to 203,055,208 and 445,037,432

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Solution

The third proportional to 203,055,208 and 445,037,432 is: 975,391,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,055,208 : 445,037,432 = 445,037,432 : x
  2. Step 2: Convert to fraction form
    203,055,208/445,037,432 = 445,037,432/x
  3. Step 3: Cross multiply
    203,055,208x = 445,037,432 × 445,037,432
  4. Step 4: Simplify right side
    203,055,208x = 198,058,315,881,154,624
  5. Step 5: Solve for x
    x = 198,058,315,881,154,624/203,055,208
  6. Step 6: Final answer
    x = 975,391,460.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.