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Finding the Third Proportional to 197,629,656 and 435,466,416

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Solution

The third proportional to 197,629,656 and 435,466,416 is: 959,527,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,629,656 : 435,466,416 = 435,466,416 : x
  2. Step 2: Convert to fraction form
    197,629,656/435,466,416 = 435,466,416/x
  3. Step 3: Cross multiply
    197,629,656x = 435,466,416 × 435,466,416
  4. Step 4: Simplify right side
    197,629,656x = 189,630,999,463,885,056
  5. Step 5: Solve for x
    x = 189,630,999,463,885,056/197,629,656
  6. Step 6: Final answer
    x = 959,527,043.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.