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Finding the Third Proportional to 67,389,174 and 145,538,172

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Solution

The third proportional to 67,389,174 and 145,538,172 is: 314,313,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,389,174 : 145,538,172 = 145,538,172 : x
  2. Step 2: Convert to fraction form
    67,389,174/145,538,172 = 145,538,172/x
  3. Step 3: Cross multiply
    67,389,174x = 145,538,172 × 145,538,172
  4. Step 4: Simplify right side
    67,389,174x = 21,181,359,509,101,584
  5. Step 5: Solve for x
    x = 21,181,359,509,101,584/67,389,174
  6. Step 6: Final answer
    x = 314,313,980.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.