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Finding the Third Proportional to 85,672,869 and 130,518,064

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Solution

The third proportional to 85,672,869 and 130,518,064 is: 198,837,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,672,869 : 130,518,064 = 130,518,064 : x
  2. Step 2: Convert to fraction form
    85,672,869/130,518,064 = 130,518,064/x
  3. Step 3: Cross multiply
    85,672,869x = 130,518,064 × 130,518,064
  4. Step 4: Simplify right side
    85,672,869x = 17,034,965,030,308,096
  5. Step 5: Solve for x
    x = 17,034,965,030,308,096/85,672,869
  6. Step 6: Final answer
    x = 198,837,335.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.