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Finding the Third Proportional to 172,360,731 and 368,609,334

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Solution

The third proportional to 172,360,731 and 368,609,334 is: 788,305,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,360,731 : 368,609,334 = 368,609,334 : x
  2. Step 2: Convert to fraction form
    172,360,731/368,609,334 = 368,609,334/x
  3. Step 3: Cross multiply
    172,360,731x = 368,609,334 × 368,609,334
  4. Step 4: Simplify right side
    172,360,731x = 135,872,841,111,923,552
  5. Step 5: Solve for x
    x = 135,872,841,111,923,552/172,360,731
  6. Step 6: Final answer
    x = 788,305,087.38

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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.