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Finding the Third Proportional to 185,753,106 and 433,764,765

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Solution

The third proportional to 185,753,106 and 433,764,765 is: 1,012,913,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,753,106 : 433,764,765 = 433,764,765 : x
  2. Step 2: Convert to fraction form
    185,753,106/433,764,765 = 433,764,765/x
  3. Step 3: Cross multiply
    185,753,106x = 433,764,765 × 433,764,765
  4. Step 4: Simplify right side
    185,753,106x = 188,151,871,355,505,216
  5. Step 5: Solve for x
    x = 188,151,871,355,505,216/185,753,106
  6. Step 6: Final answer
    x = 1,012,913,729.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.