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Finding the Third Proportional to 202,162,914 and 295,662,771

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Solution

The third proportional to 202,162,914 and 295,662,771 is: 432,406,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,162,914 : 295,662,771 = 295,662,771 : x
  2. Step 2: Convert to fraction form
    202,162,914/295,662,771 = 295,662,771/x
  3. Step 3: Cross multiply
    202,162,914x = 295,662,771 × 295,662,771
  4. Step 4: Simplify right side
    202,162,914x = 87,416,474,155,398,448
  5. Step 5: Solve for x
    x = 87,416,474,155,398,448/202,162,914
  6. Step 6: Final answer
    x = 432,406,084.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.