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Finding the Third Proportional to 123,908,965,824 and 187,338,649,152

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Solution

The third proportional to 123,908,965,824 and 187,338,649,152 is: 283,238,337,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,908,965,824 : 187,338,649,152 = 187,338,649,152 : x
  2. Step 2: Convert to fraction form
    123,908,965,824/187,338,649,152 = 187,338,649,152/x
  3. Step 3: Cross multiply
    123,908,965,824x = 187,338,649,152 × 187,338,649,152
  4. Step 4: Simplify right side
    123,908,965,824x = 35,095,769,466,096,150,642,688
  5. Step 5: Solve for x
    x = 35,095,769,466,096,150,642,688/123,908,965,824
  6. Step 6: Final answer
    x = 283,238,337,377.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.