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Finding the Third Proportional to 159,500,884.50 and 238,985,232.75

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Solution

The third proportional to 159,500,884.50 and 238,985,232.75 is: 358,079,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,500,884.50 : 238,985,232.75 = 238,985,232.75 : x
  2. Step 2: Convert to fraction form
    159,500,884.50/238,985,232.75 = 238,985,232.75/x
  3. Step 3: Cross multiply
    159,500,884.50x = 238,985,232.75 × 238,985,232.75
  4. Step 4: Simplify right side
    159,500,884.50x = 57,113,941,472,571,672
  5. Step 5: Solve for x
    x = 57,113,941,472,571,672/159,500,884.50
  6. Step 6: Final answer
    x = 358,079,152.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.