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Finding the Third Proportional to 161,203,342 and 349,775,894

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Solution

The third proportional to 161,203,342 and 349,775,894 is: 758,936,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,203,342 : 349,775,894 = 349,775,894 : x
  2. Step 2: Convert to fraction form
    161,203,342/349,775,894 = 349,775,894/x
  3. Step 3: Cross multiply
    161,203,342x = 349,775,894 × 349,775,894
  4. Step 4: Simplify right side
    161,203,342x = 122,343,176,023,499,232
  5. Step 5: Solve for x
    x = 122,343,176,023,499,232/161,203,342
  6. Step 6: Final answer
    x = 758,936,970.57

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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.