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Finding the Third Proportional to 176,940,709.50 and 265,411,089

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Solution

The third proportional to 176,940,709.50 and 265,411,089 is: 398,116,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,940,709.50 : 265,411,089 = 265,411,089 : x
  2. Step 2: Convert to fraction form
    176,940,709.50/265,411,089 = 265,411,089/x
  3. Step 3: Cross multiply
    176,940,709.50x = 265,411,089 × 265,411,089
  4. Step 4: Simplify right side
    176,940,709.50x = 70,443,046,164,165,920
  5. Step 5: Solve for x
    x = 70,443,046,164,165,920/176,940,709.50
  6. Step 6: Final answer
    x = 398,116,670.63

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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.