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Finding the Third Proportional to 82,908,683.25 and 177,464,064.75

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Solution

The third proportional to 82,908,683.25 and 177,464,064.75 is: 379,857,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,908,683.25 : 177,464,064.75 = 177,464,064.75 : x
  2. Step 2: Convert to fraction form
    82,908,683.25/177,464,064.75 = 177,464,064.75/x
  3. Step 3: Cross multiply
    82,908,683.25x = 177,464,064.75 × 177,464,064.75
  4. Step 4: Simplify right side
    82,908,683.25x = 31,493,494,277,592,192
  5. Step 5: Solve for x
    x = 31,493,494,277,592,192/82,908,683.25
  6. Step 6: Final answer
    x = 379,857,610.12

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.