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Finding the Third Proportional to 52,750,106 and 111,168,052

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Solution

The third proportional to 52,750,106 and 111,168,052 is: 234,280,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,750,106 : 111,168,052 = 111,168,052 : x
  2. Step 2: Convert to fraction form
    52,750,106/111,168,052 = 111,168,052/x
  3. Step 3: Cross multiply
    52,750,106x = 111,168,052 × 111,168,052
  4. Step 4: Simplify right side
    52,750,106x = 12,358,335,785,474,704
  5. Step 5: Solve for x
    x = 12,358,335,785,474,704/52,750,106
  6. Step 6: Final answer
    x = 234,280,776.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.