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Finding the Third Proportional to 145,429,142 and 311,013,674

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Solution

The third proportional to 145,429,142 and 311,013,674 is: 665,131,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,142 : 311,013,674 = 311,013,674 : x
  2. Step 2: Convert to fraction form
    145,429,142/311,013,674 = 311,013,674/x
  3. Step 3: Cross multiply
    145,429,142x = 311,013,674 × 311,013,674
  4. Step 4: Simplify right side
    145,429,142x = 96,729,505,414,978,272
  5. Step 5: Solve for x
    x = 96,729,505,414,978,272/145,429,142
  6. Step 6: Final answer
    x = 665,131,514.12

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