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Finding the Third Proportional to 82,065,074 and 177,748,300

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Solution

The third proportional to 82,065,074 and 177,748,300 is: 384,992,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,065,074 : 177,748,300 = 177,748,300 : x
  2. Step 2: Convert to fraction form
    82,065,074/177,748,300 = 177,748,300/x
  3. Step 3: Cross multiply
    82,065,074x = 177,748,300 × 177,748,300
  4. Step 4: Simplify right side
    82,065,074x = 31,594,458,152,890,000
  5. Step 5: Solve for x
    x = 31,594,458,152,890,000/82,065,074
  6. Step 6: Final answer
    x = 384,992,745.55

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