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Finding the Third Proportional to 234,634,020 and 354,970,950

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Solution

The third proportional to 234,634,020 and 354,970,950 is: 537,025,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,634,020 : 354,970,950 = 354,970,950 : x
  2. Step 2: Convert to fraction form
    234,634,020/354,970,950 = 354,970,950/x
  3. Step 3: Cross multiply
    234,634,020x = 354,970,950 × 354,970,950
  4. Step 4: Simplify right side
    234,634,020x = 126,004,375,343,902,496
  5. Step 5: Solve for x
    x = 126,004,375,343,902,496/234,634,020
  6. Step 6: Final answer
    x = 537,025,173.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.