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Finding the Third Proportional to 73,538,148 and 161,664,072

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Solution

The third proportional to 73,538,148 and 161,664,072 is: 355,397,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,538,148 : 161,664,072 = 161,664,072 : x
  2. Step 2: Convert to fraction form
    73,538,148/161,664,072 = 161,664,072/x
  3. Step 3: Cross multiply
    73,538,148x = 161,664,072 × 161,664,072
  4. Step 4: Simplify right side
    73,538,148x = 26,135,272,175,621,184
  5. Step 5: Solve for x
    x = 26,135,272,175,621,184/73,538,148
  6. Step 6: Final answer
    x = 355,397,475.82

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Why These Related Problems?

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