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Finding the Third Proportional to 104,924,024 and 164,574,296

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Solution

The third proportional to 104,924,024 and 164,574,296 is: 258,136,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,924,024 : 164,574,296 = 164,574,296 : x
  2. Step 2: Convert to fraction form
    104,924,024/164,574,296 = 164,574,296/x
  3. Step 3: Cross multiply
    104,924,024x = 164,574,296 × 164,574,296
  4. Step 4: Simplify right side
    104,924,024x = 27,084,698,903,895,616
  5. Step 5: Solve for x
    x = 27,084,698,903,895,616/104,924,024
  6. Step 6: Final answer
    x = 258,136,295.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.