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Finding the Third Proportional to 82,203,602 and 178,878,348

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Solution

The third proportional to 82,203,602 and 178,878,348 is: 389,246,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,203,602 : 178,878,348 = 178,878,348 : x
  2. Step 2: Convert to fraction form
    82,203,602/178,878,348 = 178,878,348/x
  3. Step 3: Cross multiply
    82,203,602x = 178,878,348 × 178,878,348
  4. Step 4: Simplify right side
    82,203,602x = 31,997,463,383,209,104
  5. Step 5: Solve for x
    x = 31,997,463,383,209,104/82,203,602
  6. Step 6: Final answer
    x = 389,246,488.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.