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Finding the Third Proportional to 123,835,701 and 289,177,243.50

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Solution

The third proportional to 123,835,701 and 289,177,243.50 is: 675,277,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,835,701 : 289,177,243.50 = 289,177,243.50 : x
  2. Step 2: Convert to fraction form
    123,835,701/289,177,243.50 = 289,177,243.50/x
  3. Step 3: Cross multiply
    123,835,701x = 289,177,243.50 × 289,177,243.50
  4. Step 4: Simplify right side
    123,835,701x = 83,623,478,158,258,288
  5. Step 5: Solve for x
    x = 83,623,478,158,258,288/123,835,701
  6. Step 6: Final answer
    x = 675,277,625.78

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