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Finding the Third Proportional to 147,230,106 and 318,997,224

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Solution

The third proportional to 147,230,106 and 318,997,224 is: 691,157,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,230,106 : 318,997,224 = 318,997,224 : x
  2. Step 2: Convert to fraction form
    147,230,106/318,997,224 = 318,997,224/x
  3. Step 3: Cross multiply
    147,230,106x = 318,997,224 × 318,997,224
  4. Step 4: Simplify right side
    147,230,106x = 101,759,228,919,706,176
  5. Step 5: Solve for x
    x = 101,759,228,919,706,176/147,230,106
  6. Step 6: Final answer
    x = 691,157,750.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.