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Finding the Third Proportional to 117,669,233 and 256,525,547

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Solution

The third proportional to 117,669,233 and 256,525,547 is: 559,240,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,669,233 : 256,525,547 = 256,525,547 : x
  2. Step 2: Convert to fraction form
    117,669,233/256,525,547 = 256,525,547/x
  3. Step 3: Cross multiply
    117,669,233x = 256,525,547 × 256,525,547
  4. Step 4: Simplify right side
    117,669,233x = 65,805,356,263,649,208
  5. Step 5: Solve for x
    x = 65,805,356,263,649,208/117,669,233
  6. Step 6: Final answer
    x = 559,240,122.38

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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.