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Finding the Third Proportional to 119,481,839.44 and 184,528,967.91

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Solution

The third proportional to 119,481,839.44 and 184,528,967.91 is: 284,988,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,481,839.44 : 184,528,967.91 = 184,528,967.91 : x
  2. Step 2: Convert to fraction form
    119,481,839.44/184,528,967.91 = 184,528,967.91/x
  3. Step 3: Cross multiply
    119,481,839.44x = 184,528,967.91 × 184,528,967.91
  4. Step 4: Simplify right side
    119,481,839.44x = 34,050,939,996,545,844
  5. Step 5: Solve for x
    x = 34,050,939,996,545,844/119,481,839.44
  6. Step 6: Final answer
    x = 284,988,414.61

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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.