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Finding the Third Proportional to 104,304,296,570 and 225,936,603,188

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Solution

The third proportional to 104,304,296,570 and 225,936,603,188 is: 489,407,918,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,304,296,570 : 225,936,603,188 = 225,936,603,188 : x
  2. Step 2: Convert to fraction form
    104,304,296,570/225,936,603,188 = 225,936,603,188/x
  3. Step 3: Cross multiply
    104,304,296,570x = 225,936,603,188 × 225,936,603,188
  4. Step 4: Simplify right side
    104,304,296,570x = 51,047,348,660,131,774,595,072
  5. Step 5: Solve for x
    x = 51,047,348,660,131,774,595,072/104,304,296,570
  6. Step 6: Final answer
    x = 489,407,918,358.12

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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.