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Finding the Third Proportional to 176,940,672.75 and 265,411,031.91

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Solution

The third proportional to 176,940,672.75 and 265,411,031.91 is: 398,116,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,940,672.75 : 265,411,031.91 = 265,411,031.91 : x
  2. Step 2: Convert to fraction form
    176,940,672.75/265,411,031.91 = 265,411,031.91/x
  3. Step 3: Cross multiply
    176,940,672.75x = 265,411,031.91 × 265,411,031.91
  4. Step 4: Simplify right side
    176,940,672.75x = 70,443,015,857,540,456
  5. Step 5: Solve for x
    x = 70,443,015,857,540,456/176,940,672.75
  6. Step 6: Final answer
    x = 398,116,582.03

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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.