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Finding the Third Proportional to 110,009,173 and 233,132,085

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Solution

The third proportional to 110,009,173 and 233,132,085 is: 494,054,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,009,173 : 233,132,085 = 233,132,085 : x
  2. Step 2: Convert to fraction form
    110,009,173/233,132,085 = 233,132,085/x
  3. Step 3: Cross multiply
    110,009,173x = 233,132,085 × 233,132,085
  4. Step 4: Simplify right side
    110,009,173x = 54,350,569,056,447,224
  5. Step 5: Solve for x
    x = 54,350,569,056,447,224/110,009,173
  6. Step 6: Final answer
    x = 494,054,882.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.