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Finding the Third Proportional to 120,335,863 and 186,023,893.50

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Solution

The third proportional to 120,335,863 and 186,023,893.50 is: 287,569,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,335,863 : 186,023,893.50 = 186,023,893.50 : x
  2. Step 2: Convert to fraction form
    120,335,863/186,023,893.50 = 186,023,893.50/x
  3. Step 3: Cross multiply
    120,335,863x = 186,023,893.50 × 186,023,893.50
  4. Step 4: Simplify right side
    120,335,863x = 34,604,888,952,899,344
  5. Step 5: Solve for x
    x = 34,604,888,952,899,344/120,335,863
  6. Step 6: Final answer
    x = 287,569,209.13

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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.