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Finding the Third Proportional to 82,785,721 and 174,152,257

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Solution

The third proportional to 82,785,721 and 174,152,257 is: 366,355,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,785,721 : 174,152,257 = 174,152,257 : x
  2. Step 2: Convert to fraction form
    82,785,721/174,152,257 = 174,152,257/x
  3. Step 3: Cross multiply
    82,785,721x = 174,152,257 × 174,152,257
  4. Step 4: Simplify right side
    82,785,721x = 30,329,008,618,194,048
  5. Step 5: Solve for x
    x = 30,329,008,618,194,048/82,785,721
  6. Step 6: Final answer
    x = 366,355,553.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.