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Finding the Third Proportional to 258,947,452.13 and 554,738,581.13

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Solution

The third proportional to 258,947,452.13 and 554,738,581.13 is: 1,188,406,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,947,452.13 : 554,738,581.13 = 554,738,581.13 : x
  2. Step 2: Convert to fraction form
    258,947,452.13/554,738,581.13 = 554,738,581.13/x
  3. Step 3: Cross multiply
    258,947,452.13x = 554,738,581.13 × 554,738,581.13
  4. Step 4: Simplify right side
    258,947,452.13x = 307,734,893,388,578,176
  5. Step 5: Solve for x
    x = 307,734,893,388,578,176/258,947,452.13
  6. Step 6: Final answer
    x = 1,188,406,724.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.