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Finding the Third Proportional to 123,785,303,584 and 185,808,973,168

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Solution

The third proportional to 123,785,303,584 and 185,808,973,168 is: 278,910,125,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,785,303,584 : 185,808,973,168 = 185,808,973,168 : x
  2. Step 2: Convert to fraction form
    123,785,303,584/185,808,973,168 = 185,808,973,168/x
  3. Step 3: Cross multiply
    123,785,303,584x = 185,808,973,168 × 185,808,973,168
  4. Step 4: Simplify right side
    123,785,303,584x = 34,524,974,509,746,542,346,240
  5. Step 5: Solve for x
    x = 34,524,974,509,746,542,346,240/123,785,303,584
  6. Step 6: Final answer
    x = 278,910,125,112.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.