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Finding the Third Proportional to 104,057,730,362 and 165,576,305,397

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Solution

The third proportional to 104,057,730,362 and 165,576,305,397 is: 263,464,452,026.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,057,730,362 : 165,576,305,397 = 165,576,305,397 : x
  2. Step 2: Convert to fraction form
    104,057,730,362/165,576,305,397 = 165,576,305,397/x
  3. Step 3: Cross multiply
    104,057,730,362x = 165,576,305,397 × 165,576,305,397
  4. Step 4: Simplify right side
    104,057,730,362x = 27,415,512,908,920,612,978,688
  5. Step 5: Solve for x
    x = 27,415,512,908,920,612,978,688/104,057,730,362
  6. Step 6: Final answer
    x = 263,464,452,026.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.