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Finding the Third Proportional to 241,805,152.13 and 524,664,118.13

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Solution

The third proportional to 241,805,152.13 and 524,664,118.13 is: 1,138,406,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,805,152.13 : 524,664,118.13 = 524,664,118.13 : x
  2. Step 2: Convert to fraction form
    241,805,152.13/524,664,118.13 = 524,664,118.13/x
  3. Step 3: Cross multiply
    241,805,152.13x = 524,664,118.13 × 524,664,118.13
  4. Step 4: Simplify right side
    241,805,152.13x = 275,272,436,847,883,968
  5. Step 5: Solve for x
    x = 275,272,436,847,883,968/241,805,152.13
  6. Step 6: Final answer
    x = 1,138,406,003.47

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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.