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Finding the Third Proportional to 119,013,699.94 and 183,906,493.03

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Solution

The third proportional to 119,013,699.94 and 183,906,493.03 is: 284,182,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,013,699.94 : 183,906,493.03 = 183,906,493.03 : x
  2. Step 2: Convert to fraction form
    119,013,699.94/183,906,493.03 = 183,906,493.03/x
  3. Step 3: Cross multiply
    119,013,699.94x = 183,906,493.03 × 183,906,493.03
  4. Step 4: Simplify right side
    119,013,699.94x = 33,821,598,179,053,204
  5. Step 5: Solve for x
    x = 33,821,598,179,053,204/119,013,699.94
  6. Step 6: Final answer
    x = 284,182,394.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.