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Finding the Third Proportional to 123,835,698 and 289,177,236

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Solution

The third proportional to 123,835,698 and 289,177,236 is: 675,277,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,835,698 : 289,177,236 = 289,177,236 : x
  2. Step 2: Convert to fraction form
    123,835,698/289,177,236 = 289,177,236/x
  3. Step 3: Cross multiply
    123,835,698x = 289,177,236 × 289,177,236
  4. Step 4: Simplify right side
    123,835,698x = 83,623,473,820,599,696
  5. Step 5: Solve for x
    x = 83,623,473,820,599,696/123,835,698
  6. Step 6: Final answer
    x = 675,277,607.11

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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.