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Finding the Third Proportional to 172,360,743 and 368,609,358

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Solution

The third proportional to 172,360,743 and 368,609,358 is: 788,305,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,360,743 : 368,609,358 = 368,609,358 : x
  2. Step 2: Convert to fraction form
    172,360,743/368,609,358 = 368,609,358/x
  3. Step 3: Cross multiply
    172,360,743x = 368,609,358 × 368,609,358
  4. Step 4: Simplify right side
    172,360,743x = 135,872,858,805,172,160
  5. Step 5: Solve for x
    x = 135,872,858,805,172,160/172,360,743
  6. Step 6: Final answer
    x = 788,305,135.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.