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Finding the Third Proportional to 97,082,859 and 208,573,296

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Solution

The third proportional to 97,082,859 and 208,573,296 is: 448,099,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,082,859 : 208,573,296 = 208,573,296 : x
  2. Step 2: Convert to fraction form
    97,082,859/208,573,296 = 208,573,296/x
  3. Step 3: Cross multiply
    97,082,859x = 208,573,296 × 208,573,296
  4. Step 4: Simplify right side
    97,082,859x = 43,502,819,804,303,616
  5. Step 5: Solve for x
    x = 43,502,819,804,303,616/97,082,859
  6. Step 6: Final answer
    x = 448,099,904.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.