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Finding the Third Proportional to 80,118,400 and 173,008,448

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Solution

The third proportional to 80,118,400 and 173,008,448 is: 373,596,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,118,400 : 173,008,448 = 173,008,448 : x
  2. Step 2: Convert to fraction form
    80,118,400/173,008,448 = 173,008,448/x
  3. Step 3: Cross multiply
    80,118,400x = 173,008,448 × 173,008,448
  4. Step 4: Simplify right side
    80,118,400x = 29,931,923,079,368,704
  5. Step 5: Solve for x
    x = 29,931,923,079,368,704/80,118,400
  6. Step 6: Final answer
    x = 373,596,116.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.