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Finding the Third Proportional to 119,331,070 and 184,106,121

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Solution

The third proportional to 119,331,070 and 184,106,121 is: 284,042,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,331,070 : 184,106,121 = 184,106,121 : x
  2. Step 2: Convert to fraction form
    119,331,070/184,106,121 = 184,106,121/x
  3. Step 3: Cross multiply
    119,331,070x = 184,106,121 × 184,106,121
  4. Step 4: Simplify right side
    119,331,070x = 33,895,063,789,666,640
  5. Step 5: Solve for x
    x = 33,895,063,789,666,640/119,331,070
  6. Step 6: Final answer
    x = 284,042,234.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.