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Finding the Third Proportional to 805,193,500.50 and 1,761,109,209

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Solution

The third proportional to 805,193,500.50 and 1,761,109,209 is: 3,851,876,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,193,500.50 : 1,761,109,209 = 1,761,109,209 : x
  2. Step 2: Convert to fraction form
    805,193,500.50/1,761,109,209 = 1,761,109,209/x
  3. Step 3: Cross multiply
    805,193,500.50x = 1,761,109,209 × 1,761,109,209
  4. Step 4: Simplify right side
    805,193,500.50x = 3,101,505,646,024,605,696
  5. Step 5: Solve for x
    x = 3,101,505,646,024,605,696/805,193,500.50
  6. Step 6: Final answer
    x = 3,851,876,156.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.