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Finding the Third Proportional to 223,954,358 and 320,255,114

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Solution

The third proportional to 223,954,358 and 320,255,114 is: 457,965,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,954,358 : 320,255,114 = 320,255,114 : x
  2. Step 2: Convert to fraction form
    223,954,358/320,255,114 = 320,255,114/x
  3. Step 3: Cross multiply
    223,954,358x = 320,255,114 × 320,255,114
  4. Step 4: Simplify right side
    223,954,358x = 102,563,338,043,152,992
  5. Step 5: Solve for x
    x = 102,563,338,043,152,992/223,954,358
  6. Step 6: Final answer
    x = 457,965,359.37

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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.