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Finding the Third Proportional to 206,684,083.50 and 306,151,720.50

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Solution

The third proportional to 206,684,083.50 and 306,151,720.50 is: 453,488,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,684,083.50 : 306,151,720.50 = 306,151,720.50 : x
  2. Step 2: Convert to fraction form
    206,684,083.50/306,151,720.50 = 306,151,720.50/x
  3. Step 3: Cross multiply
    206,684,083.50x = 306,151,720.50 × 306,151,720.50
  4. Step 4: Simplify right side
    206,684,083.50x = 93,728,875,965,110,128
  5. Step 5: Solve for x
    x = 93,728,875,965,110,128/206,684,083.50
  6. Step 6: Final answer
    x = 453,488,601.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.