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Finding the Third Proportional to 117,669,231 and 256,525,543

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Solution

The third proportional to 117,669,231 and 256,525,543 is: 559,240,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,669,231 : 256,525,543 = 256,525,543 : x
  2. Step 2: Convert to fraction form
    117,669,231/256,525,543 = 256,525,543/x
  3. Step 3: Cross multiply
    117,669,231x = 256,525,543 × 256,525,543
  4. Step 4: Simplify right side
    117,669,231x = 65,805,354,211,444,848
  5. Step 5: Solve for x
    x = 65,805,354,211,444,848/117,669,231
  6. Step 6: Final answer
    x = 559,240,114.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.