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Finding the Third Proportional to 111,141,177,073.50 and 149,955,541,944

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Solution

The third proportional to 111,141,177,073.50 and 149,955,541,944 is: 202,325,233,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,141,177,073.50 : 149,955,541,944 = 149,955,541,944 : x
  2. Step 2: Convert to fraction form
    111,141,177,073.50/149,955,541,944 = 149,955,541,944/x
  3. Step 3: Cross multiply
    111,141,177,073.50x = 149,955,541,944 × 149,955,541,944
  4. Step 4: Simplify right side
    111,141,177,073.50x = 22,486,664,559,718,742,097,920
  5. Step 5: Solve for x
    x = 22,486,664,559,718,742,097,920/111,141,177,073.50
  6. Step 6: Final answer
    x = 202,325,233,111.83

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.