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Finding the Third Proportional to 299,298,277,053.75 and 619,811,863,142.25

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Solution

The third proportional to 299,298,277,053.75 and 619,811,863,142.25 is: 1,283,558,159,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,298,277,053.75 : 619,811,863,142.25 = 619,811,863,142.25 : x
  2. Step 2: Convert to fraction form
    299,298,277,053.75/619,811,863,142.25 = 619,811,863,142.25/x
  3. Step 3: Cross multiply
    299,298,277,053.75x = 619,811,863,142.25 × 619,811,863,142.25
  4. Step 4: Simplify right side
    299,298,277,053.75x = 384,166,745,691,867,213,463,552
  5. Step 5: Solve for x
    x = 384,166,745,691,867,213,463,552/299,298,277,053.75
  6. Step 6: Final answer
    x = 1,283,558,159,684.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.