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Finding the Third Proportional to 119,367,178 and 189,812,242

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Solution

The third proportional to 119,367,178 and 189,812,242 is: 301,830,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,367,178 : 189,812,242 = 189,812,242 : x
  2. Step 2: Convert to fraction form
    119,367,178/189,812,242 = 189,812,242/x
  3. Step 3: Cross multiply
    119,367,178x = 189,812,242 × 189,812,242
  4. Step 4: Simplify right side
    119,367,178x = 36,028,687,213,066,564
  5. Step 5: Solve for x
    x = 36,028,687,213,066,564/119,367,178
  6. Step 6: Final answer
    x = 301,830,769.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.