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Finding the Third Proportional to 96,019,650 and 137,209,851

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Solution

The third proportional to 96,019,650 and 137,209,851 is: 196,069,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,019,650 : 137,209,851 = 137,209,851 : x
  2. Step 2: Convert to fraction form
    96,019,650/137,209,851 = 137,209,851/x
  3. Step 3: Cross multiply
    96,019,650x = 137,209,851 × 137,209,851
  4. Step 4: Simplify right side
    96,019,650x = 18,826,543,211,442,200
  5. Step 5: Solve for x
    x = 18,826,543,211,442,200/96,019,650
  6. Step 6: Final answer
    x = 196,069,692.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.