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Finding the Third Proportional to 124,957,474,004 and 190,359,800,828

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Solution

The third proportional to 124,957,474,004 and 190,359,800,828 is: 289,993,488,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,957,474,004 : 190,359,800,828 = 190,359,800,828 : x
  2. Step 2: Convert to fraction form
    124,957,474,004/190,359,800,828 = 190,359,800,828/x
  3. Step 3: Cross multiply
    124,957,474,004x = 190,359,800,828 × 190,359,800,828
  4. Step 4: Simplify right side
    124,957,474,004x = 36,236,853,771,275,830,558,720
  5. Step 5: Solve for x
    x = 36,236,853,771,275,830,558,720/124,957,474,004
  6. Step 6: Final answer
    x = 289,993,488,265.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.