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Finding the Third Proportional to 176,940,673 and 265,411,032

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Solution

The third proportional to 176,940,673 and 265,411,032 is: 398,116,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,940,673 : 265,411,032 = 265,411,032 : x
  2. Step 2: Convert to fraction form
    176,940,673/265,411,032 = 265,411,032/x
  3. Step 3: Cross multiply
    176,940,673x = 265,411,032 × 265,411,032
  4. Step 4: Simplify right side
    176,940,673x = 70,443,015,907,305,024
  5. Step 5: Solve for x
    x = 70,443,015,907,305,024/176,940,673
  6. Step 6: Final answer
    x = 398,116,581.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.