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Finding the Third Proportional to 94,532,212 and 205,198,004

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Solution

The third proportional to 94,532,212 and 205,198,004 is: 445,416,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,532,212 : 205,198,004 = 205,198,004 : x
  2. Step 2: Convert to fraction form
    94,532,212/205,198,004 = 205,198,004/x
  3. Step 3: Cross multiply
    94,532,212x = 205,198,004 × 205,198,004
  4. Step 4: Simplify right side
    94,532,212x = 42,106,220,845,584,016
  5. Step 5: Solve for x
    x = 42,106,220,845,584,016/94,532,212
  6. Step 6: Final answer
    x = 445,416,646.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.