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Finding the Third Proportional to 51,005,751.75 and 110,671,293.50

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Solution

The third proportional to 51,005,751.75 and 110,671,293.50 is: 240,132,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,005,751.75 : 110,671,293.50 = 110,671,293.50 : x
  2. Step 2: Convert to fraction form
    51,005,751.75/110,671,293.50 = 110,671,293.50/x
  3. Step 3: Cross multiply
    51,005,751.75x = 110,671,293.50 × 110,671,293.50
  4. Step 4: Simplify right side
    51,005,751.75x = 12,248,135,204,963,142
  5. Step 5: Solve for x
    x = 12,248,135,204,963,142/51,005,751.75
  6. Step 6: Final answer
    x = 240,132,431.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.