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Finding the Third Proportional to 82,065,068 and 177,748,288

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Solution

The third proportional to 82,065,068 and 177,748,288 is: 384,992,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,065,068 : 177,748,288 = 177,748,288 : x
  2. Step 2: Convert to fraction form
    82,065,068/177,748,288 = 177,748,288/x
  3. Step 3: Cross multiply
    82,065,068x = 177,748,288 × 177,748,288
  4. Step 4: Simplify right side
    82,065,068x = 31,594,453,886,930,944
  5. Step 5: Solve for x
    x = 31,594,453,886,930,944/82,065,068
  6. Step 6: Final answer
    x = 384,992,721.71

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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.