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Finding the Third Proportional to 123,835,703 and 289,177,248

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Solution

The third proportional to 123,835,703 and 289,177,248 is: 675,277,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,835,703 : 289,177,248 = 289,177,248 : x
  2. Step 2: Convert to fraction form
    123,835,703/289,177,248 = 289,177,248/x
  3. Step 3: Cross multiply
    123,835,703x = 289,177,248 × 289,177,248
  4. Step 4: Simplify right side
    123,835,703x = 83,623,480,760,853,504
  5. Step 5: Solve for x
    x = 83,623,480,760,853,504/123,835,703
  6. Step 6: Final answer
    x = 675,277,635.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.