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Finding the Third Proportional to 145,429,111 and 311,013,614

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Solution

The third proportional to 145,429,111 and 311,013,614 is: 665,131,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,111 : 311,013,614 = 311,013,614 : x
  2. Step 2: Convert to fraction form
    145,429,111/311,013,614 = 311,013,614/x
  3. Step 3: Cross multiply
    145,429,111x = 311,013,614 × 311,013,614
  4. Step 4: Simplify right side
    145,429,111x = 96,729,468,093,340,992
  5. Step 5: Solve for x
    x = 96,729,468,093,340,992/145,429,111
  6. Step 6: Final answer
    x = 665,131,399.27

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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.