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Finding the Third Proportional to 116,231,248.50 and 255,133,668

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Solution

The third proportional to 116,231,248.50 and 255,133,668 is: 560,031,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,231,248.50 : 255,133,668 = 255,133,668 : x
  2. Step 2: Convert to fraction form
    116,231,248.50/255,133,668 = 255,133,668/x
  3. Step 3: Cross multiply
    116,231,248.50x = 255,133,668 × 255,133,668
  4. Step 4: Simplify right side
    116,231,248.50x = 65,093,188,547,134,224
  5. Step 5: Solve for x
    x = 65,093,188,547,134,224/116,231,248.50
  6. Step 6: Final answer
    x = 560,031,741.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.