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Finding the Third Proportional to 114,742,842.75 and 173,074,905

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Solution

The third proportional to 114,742,842.75 and 173,074,905 is: 261,061,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,742,842.75 : 173,074,905 = 173,074,905 : x
  2. Step 2: Convert to fraction form
    114,742,842.75/173,074,905 = 173,074,905/x
  3. Step 3: Cross multiply
    114,742,842.75x = 173,074,905 × 173,074,905
  4. Step 4: Simplify right side
    114,742,842.75x = 29,954,922,740,759,024
  5. Step 5: Solve for x
    x = 29,954,922,740,759,024/114,742,842.75
  6. Step 6: Final answer
    x = 261,061,361.41

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Why These Related Problems?

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