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Finding the Third Proportional to 70,408,642.50 and 107,705,512.69

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Solution

The third proportional to 70,408,642.50 and 107,705,512.69 is: 164,759,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,408,642.50 : 107,705,512.69 = 107,705,512.69 : x
  2. Step 2: Convert to fraction form
    70,408,642.50/107,705,512.69 = 107,705,512.69/x
  3. Step 3: Cross multiply
    70,408,642.50x = 107,705,512.69 × 107,705,512.69
  4. Step 4: Simplify right side
    70,408,642.50x = 11,600,477,463,277,224
  5. Step 5: Solve for x
    x = 11,600,477,463,277,224/70,408,642.50
  6. Step 6: Final answer
    x = 164,759,283.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.