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Finding the Third Proportional to 262,853,491.50 and 560,888,570.25

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Solution

The third proportional to 262,853,491.50 and 560,888,570.25 is: 1,196,849,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,853,491.50 : 560,888,570.25 = 560,888,570.25 : x
  2. Step 2: Convert to fraction form
    262,853,491.50/560,888,570.25 = 560,888,570.25/x
  3. Step 3: Cross multiply
    262,853,491.50x = 560,888,570.25 × 560,888,570.25
  4. Step 4: Simplify right side
    262,853,491.50x = 314,595,988,237,089,216
  5. Step 5: Solve for x
    x = 314,595,988,237,089,216/262,853,491.50
  6. Step 6: Final answer
    x = 1,196,849,189.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.