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Finding the Third Proportional to 189,164,746 and 266,269,567

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Solution

The third proportional to 189,164,746 and 266,269,567 is: 374,802,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,164,746 : 266,269,567 = 266,269,567 : x
  2. Step 2: Convert to fraction form
    189,164,746/266,269,567 = 266,269,567/x
  3. Step 3: Cross multiply
    189,164,746x = 266,269,567 × 266,269,567
  4. Step 4: Simplify right side
    189,164,746x = 70,899,482,310,367,488
  5. Step 5: Solve for x
    x = 70,899,482,310,367,488/189,164,746
  6. Step 6: Final answer
    x = 374,802,830.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.