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Finding the Third Proportional to 161,203,367 and 349,775,943

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Solution

The third proportional to 161,203,367 and 349,775,943 is: 758,937,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,203,367 : 349,775,943 = 349,775,943 : x
  2. Step 2: Convert to fraction form
    161,203,367/349,775,943 = 349,775,943/x
  3. Step 3: Cross multiply
    161,203,367x = 349,775,943 × 349,775,943
  4. Step 4: Simplify right side
    161,203,367x = 122,343,210,301,539,248
  5. Step 5: Solve for x
    x = 122,343,210,301,539,248/161,203,367
  6. Step 6: Final answer
    x = 758,937,065.51

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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.