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Finding the Third Proportional to 189,527,620 and 286,624,230

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Solution

The third proportional to 189,527,620 and 286,624,230 is: 433,464,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,527,620 : 286,624,230 = 286,624,230 : x
  2. Step 2: Convert to fraction form
    189,527,620/286,624,230 = 286,624,230/x
  3. Step 3: Cross multiply
    189,527,620x = 286,624,230 × 286,624,230
  4. Step 4: Simplify right side
    189,527,620x = 82,153,449,223,092,896
  5. Step 5: Solve for x
    x = 82,153,449,223,092,896/189,527,620
  6. Step 6: Final answer
    x = 433,464,258.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.