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Finding the Third Proportional to 176,940,675 and 265,411,035

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Solution

The third proportional to 176,940,675 and 265,411,035 is: 398,116,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,940,675 : 265,411,035 = 265,411,035 : x
  2. Step 2: Convert to fraction form
    176,940,675/265,411,035 = 265,411,035/x
  3. Step 3: Cross multiply
    176,940,675x = 265,411,035 × 265,411,035
  4. Step 4: Simplify right side
    176,940,675x = 70,443,017,499,771,224
  5. Step 5: Solve for x
    x = 70,443,017,499,771,224/176,940,675
  6. Step 6: Final answer
    x = 398,116,586.25

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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.