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Finding the Third Proportional to 81,094,644 and 176,466,024

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Solution

The third proportional to 81,094,644 and 176,466,024 is: 383,998,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,094,644 : 176,466,024 = 176,466,024 : x
  2. Step 2: Convert to fraction form
    81,094,644/176,466,024 = 176,466,024/x
  3. Step 3: Cross multiply
    81,094,644x = 176,466,024 × 176,466,024
  4. Step 4: Simplify right side
    81,094,644x = 31,140,257,626,368,576
  5. Step 5: Solve for x
    x = 31,140,257,626,368,576/81,094,644
  6. Step 6: Final answer
    x = 383,998,943.58

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Why These Related Problems?

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