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Finding the Third Proportional to 189,527,708 and 286,624,362

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Solution

The third proportional to 189,527,708 and 286,624,362 is: 433,464,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,527,708 : 286,624,362 = 286,624,362 : x
  2. Step 2: Convert to fraction form
    189,527,708/286,624,362 = 286,624,362/x
  3. Step 3: Cross multiply
    189,527,708x = 286,624,362 × 286,624,362
  4. Step 4: Simplify right side
    189,527,708x = 82,153,524,891,907,040
  5. Step 5: Solve for x
    x = 82,153,524,891,907,040/189,527,708
  6. Step 6: Final answer
    x = 433,464,456.25

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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.