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Finding the Third Proportional to 183,967,443 and 282,771,040.50

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Solution

The third proportional to 183,967,443 and 282,771,040.50 is: 434,639,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,967,443 : 282,771,040.50 = 282,771,040.50 : x
  2. Step 2: Convert to fraction form
    183,967,443/282,771,040.50 = 282,771,040.50/x
  3. Step 3: Cross multiply
    183,967,443x = 282,771,040.50 × 282,771,040.50
  4. Step 4: Simplify right side
    183,967,443x = 79,959,461,345,452,640
  5. Step 5: Solve for x
    x = 79,959,461,345,452,640/183,967,443
  6. Step 6: Final answer
    x = 434,639,195.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.