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Finding the Third Proportional to 282,093,156 and 427,406,076

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Solution

The third proportional to 282,093,156 and 427,406,076 is: 647,573,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,093,156 : 427,406,076 = 427,406,076 : x
  2. Step 2: Convert to fraction form
    282,093,156/427,406,076 = 427,406,076/x
  3. Step 3: Cross multiply
    282,093,156x = 427,406,076 × 427,406,076
  4. Step 4: Simplify right side
    282,093,156x = 182,675,953,801,717,760
  5. Step 5: Solve for x
    x = 182,675,953,801,717,760/282,093,156
  6. Step 6: Final answer
    x = 647,573,150.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.