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Finding the Third Proportional to 211,043,940 and 458,184,072

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Solution

The third proportional to 211,043,940 and 458,184,072 is: 994,734,290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,043,940 : 458,184,072 = 458,184,072 : x
  2. Step 2: Convert to fraction form
    211,043,940/458,184,072 = 458,184,072/x
  3. Step 3: Cross multiply
    211,043,940x = 458,184,072 × 458,184,072
  4. Step 4: Simplify right side
    211,043,940x = 209,932,643,834,501,184
  5. Step 5: Solve for x
    x = 209,932,643,834,501,184/211,043,940
  6. Step 6: Final answer
    x = 994,734,290.09

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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.