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Finding the Third Proportional to 129,298,500 and 287,294,868

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Solution

The third proportional to 129,298,500 and 287,294,868 is: 638,354,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,298,500 : 287,294,868 = 287,294,868 : x
  2. Step 2: Convert to fraction form
    129,298,500/287,294,868 = 287,294,868/x
  3. Step 3: Cross multiply
    129,298,500x = 287,294,868 × 287,294,868
  4. Step 4: Simplify right side
    129,298,500x = 82,538,341,179,137,424
  5. Step 5: Solve for x
    x = 82,538,341,179,137,424/129,298,500
  6. Step 6: Final answer
    x = 638,354,978.43

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.