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Finding the Third Proportional to 51,427,027.50 and 109,828,605

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Solution

The third proportional to 51,427,027.50 and 109,828,605 is: 234,552,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,427,027.50 : 109,828,605 = 109,828,605 : x
  2. Step 2: Convert to fraction form
    51,427,027.50/109,828,605 = 109,828,605/x
  3. Step 3: Cross multiply
    51,427,027.50x = 109,828,605 × 109,828,605
  4. Step 4: Simplify right side
    51,427,027.50x = 12,062,322,476,246,024
  5. Step 5: Solve for x
    x = 12,062,322,476,246,024/51,427,027.50
  6. Step 6: Final answer
    x = 234,552,200.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.