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Finding the Third Proportional to 47,288,184 and 101,871,216

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Solution

The third proportional to 47,288,184 and 101,871,216 is: 219,457,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,288,184 : 101,871,216 = 101,871,216 : x
  2. Step 2: Convert to fraction form
    47,288,184/101,871,216 = 101,871,216/x
  3. Step 3: Cross multiply
    47,288,184x = 101,871,216 × 101,871,216
  4. Step 4: Simplify right side
    47,288,184x = 10,377,744,649,318,656
  5. Step 5: Solve for x
    x = 10,377,744,649,318,656/47,288,184
  6. Step 6: Final answer
    x = 219,457,457.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.