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Finding the Third Proportional to 197,692,023 and 411,746,889

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Solution

The third proportional to 197,692,023 and 411,746,889 is: 857,573,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,692,023 : 411,746,889 = 411,746,889 : x
  2. Step 2: Convert to fraction form
    197,692,023/411,746,889 = 411,746,889/x
  3. Step 3: Cross multiply
    197,692,023x = 411,746,889 × 411,746,889
  4. Step 4: Simplify right side
    197,692,023x = 169,535,500,601,178,336
  5. Step 5: Solve for x
    x = 169,535,500,601,178,336/197,692,023
  6. Step 6: Final answer
    x = 857,573,806.11

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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.