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Finding the Third Proportional to 181,139,366 and 397,864,300

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Solution

The third proportional to 181,139,366 and 397,864,300 is: 873,890,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,139,366 : 397,864,300 = 397,864,300 : x
  2. Step 2: Convert to fraction form
    181,139,366/397,864,300 = 397,864,300/x
  3. Step 3: Cross multiply
    181,139,366x = 397,864,300 × 397,864,300
  4. Step 4: Simplify right side
    181,139,366x = 158,296,001,214,489,984
  5. Step 5: Solve for x
    x = 158,296,001,214,489,984/181,139,366
  6. Step 6: Final answer
    x = 873,890,666.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.