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Finding the Third Proportional to 111,863,174.34 and 263,692,608.05

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Solution

The third proportional to 111,863,174.34 and 263,692,608.05 is: 621,596,802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,863,174.34 : 263,692,608.05 = 263,692,608.05 : x
  2. Step 2: Convert to fraction form
    111,863,174.34/263,692,608.05 = 263,692,608.05/x
  3. Step 3: Cross multiply
    111,863,174.34x = 263,692,608.05 × 263,692,608.05
  4. Step 4: Simplify right side
    111,863,174.34x = 69,533,791,538,565,488
  5. Step 5: Solve for x
    x = 69,533,791,538,565,488/111,863,174.34
  6. Step 6: Final answer
    x = 621,596,802.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.