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Finding the Third Proportional to 185,388,700 and 252,467,765

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Solution

The third proportional to 185,388,700 and 252,467,765 is: 343,818,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,388,700 : 252,467,765 = 252,467,765 : x
  2. Step 2: Convert to fraction form
    185,388,700/252,467,765 = 252,467,765/x
  3. Step 3: Cross multiply
    185,388,700x = 252,467,765 × 252,467,765
  4. Step 4: Simplify right side
    185,388,700x = 63,739,972,364,095,224
  5. Step 5: Solve for x
    x = 63,739,972,364,095,224/185,388,700
  6. Step 6: Final answer
    x = 343,818,001.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.