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Finding the Third Proportional to 82,297,552 and 176,982,272

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Solution

The third proportional to 82,297,552 and 176,982,272 is: 380,603,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,297,552 : 176,982,272 = 176,982,272 : x
  2. Step 2: Convert to fraction form
    82,297,552/176,982,272 = 176,982,272/x
  3. Step 3: Cross multiply
    82,297,552x = 176,982,272 × 176,982,272
  4. Step 4: Simplify right side
    82,297,552x = 31,322,724,602,281,984
  5. Step 5: Solve for x
    x = 31,322,724,602,281,984/82,297,552
  6. Step 6: Final answer
    x = 380,603,357.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.