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Finding the Third Proportional to 241,805,125.13 and 524,664,064.13

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Solution

The third proportional to 241,805,125.13 and 524,664,064.13 is: 1,138,405,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,805,125.13 : 524,664,064.13 = 524,664,064.13 : x
  2. Step 2: Convert to fraction form
    241,805,125.13/524,664,064.13 = 524,664,064.13/x
  3. Step 3: Cross multiply
    241,805,125.13x = 524,664,064.13 × 524,664,064.13
  4. Step 4: Simplify right side
    241,805,125.13x = 275,272,380,184,162,112
  5. Step 5: Solve for x
    x = 275,272,380,184,162,112/241,805,125.13
  6. Step 6: Final answer
    x = 1,138,405,896.24

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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.