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Finding the Third Proportional to 109,542,566 and 170,595,232

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Solution

The third proportional to 109,542,566 and 170,595,232 is: 265,675,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,542,566 : 170,595,232 = 170,595,232 : x
  2. Step 2: Convert to fraction form
    109,542,566/170,595,232 = 170,595,232/x
  3. Step 3: Cross multiply
    109,542,566x = 170,595,232 × 170,595,232
  4. Step 4: Simplify right side
    109,542,566x = 29,102,733,181,133,824
  5. Step 5: Solve for x
    x = 29,102,733,181,133,824/109,542,566
  6. Step 6: Final answer
    x = 265,675,109.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.