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Finding the Third Proportional to 197,692,021 and 411,746,885

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Solution

The third proportional to 197,692,021 and 411,746,885 is: 857,573,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,692,021 : 411,746,885 = 411,746,885 : x
  2. Step 2: Convert to fraction form
    197,692,021/411,746,885 = 411,746,885/x
  3. Step 3: Cross multiply
    197,692,021x = 411,746,885 × 411,746,885
  4. Step 4: Simplify right side
    197,692,021x = 169,535,497,307,203,232
  5. Step 5: Solve for x
    x = 169,535,497,307,203,232/197,692,021
  6. Step 6: Final answer
    x = 857,573,798.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.