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Finding the Third Proportional to 102,041,814 and 217,706,604

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Solution

The third proportional to 102,041,814 and 217,706,604 is: 464,477,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,041,814 : 217,706,604 = 217,706,604 : x
  2. Step 2: Convert to fraction form
    102,041,814/217,706,604 = 217,706,604/x
  3. Step 3: Cross multiply
    102,041,814x = 217,706,604 × 217,706,604
  4. Step 4: Simplify right side
    102,041,814x = 47,396,165,425,212,816
  5. Step 5: Solve for x
    x = 47,396,165,425,212,816/102,041,814
  6. Step 6: Final answer
    x = 464,477,879.87

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.