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Finding the Third Proportional to 121,438,986 and 177,603,968.50

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Solution

The third proportional to 121,438,986 and 177,603,968.50 is: 259,745,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,438,986 : 177,603,968.50 = 177,603,968.50 : x
  2. Step 2: Convert to fraction form
    121,438,986/177,603,968.50 = 177,603,968.50/x
  3. Step 3: Cross multiply
    121,438,986x = 177,603,968.50 × 177,603,968.50
  4. Step 4: Simplify right side
    121,438,986x = 31,543,169,626,948,992
  5. Step 5: Solve for x
    x = 31,543,169,626,948,992/121,438,986
  6. Step 6: Final answer
    x = 259,745,001.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.