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Finding the Third Proportional to 205,395,825 and 318,153,224

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Solution

The third proportional to 205,395,825 and 318,153,224 is: 492,811,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,395,825 : 318,153,224 = 318,153,224 : x
  2. Step 2: Convert to fraction form
    205,395,825/318,153,224 = 318,153,224/x
  3. Step 3: Cross multiply
    205,395,825x = 318,153,224 × 318,153,224
  4. Step 4: Simplify right side
    205,395,825x = 101,221,473,941,594,176
  5. Step 5: Solve for x
    x = 101,221,473,941,594,176/205,395,825
  6. Step 6: Final answer
    x = 492,811,740.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.