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Finding the Third Proportional to 57,287,926.50 and 117,223,215

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Solution

The third proportional to 57,287,926.50 and 117,223,215 is: 239,863,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,287,926.50 : 117,223,215 = 117,223,215 : x
  2. Step 2: Convert to fraction form
    57,287,926.50/117,223,215 = 117,223,215/x
  3. Step 3: Cross multiply
    57,287,926.50x = 117,223,215 × 117,223,215
  4. Step 4: Simplify right side
    57,287,926.50x = 13,741,282,134,936,224
  5. Step 5: Solve for x
    x = 13,741,282,134,936,224/57,287,926.50
  6. Step 6: Final answer
    x = 239,863,492.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.