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Finding the Third Proportional to 241,805,271.75 and 524,664,360.75

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Solution

The third proportional to 241,805,271.75 and 524,664,360.75 is: 1,138,406,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,805,271.75 : 524,664,360.75 = 524,664,360.75 : x
  2. Step 2: Convert to fraction form
    241,805,271.75/524,664,360.75 = 524,664,360.75/x
  3. Step 3: Cross multiply
    241,805,271.75x = 524,664,360.75 × 524,664,360.75
  4. Step 4: Simplify right side
    241,805,271.75x = 275,272,691,441,206,144
  5. Step 5: Solve for x
    x = 275,272,691,441,206,144/241,805,271.75
  6. Step 6: Final answer
    x = 1,138,406,493.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.