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Finding the Third Proportional to 110,926,000.50 and 173,104,258.50

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Solution

The third proportional to 110,926,000.50 and 173,104,258.50 is: 270,135,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,926,000.50 : 173,104,258.50 = 173,104,258.50 : x
  2. Step 2: Convert to fraction form
    110,926,000.50/173,104,258.50 = 173,104,258.50/x
  3. Step 3: Cross multiply
    110,926,000.50x = 173,104,258.50 × 173,104,258.50
  4. Step 4: Simplify right side
    110,926,000.50x = 29,965,084,310,834,824
  5. Step 5: Solve for x
    x = 29,965,084,310,834,824/110,926,000.50
  6. Step 6: Final answer
    x = 270,135,803.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.