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Finding the Third Proportional to 198,119,274 and 300,170,724

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Solution

The third proportional to 198,119,274 and 300,170,724 is: 454,788,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,119,274 : 300,170,724 = 300,170,724 : x
  2. Step 2: Convert to fraction form
    198,119,274/300,170,724 = 300,170,724/x
  3. Step 3: Cross multiply
    198,119,274x = 300,170,724 × 300,170,724
  4. Step 4: Simplify right side
    198,119,274x = 90,102,463,546,684,176
  5. Step 5: Solve for x
    x = 90,102,463,546,684,176/198,119,274
  6. Step 6: Final answer
    x = 454,788,985.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.