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Finding the Third Proportional to 75,251,320 and 109,973,340

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Solution

The third proportional to 75,251,320 and 109,973,340 is: 160,716,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,251,320 : 109,973,340 = 109,973,340 : x
  2. Step 2: Convert to fraction form
    75,251,320/109,973,340 = 109,973,340/x
  3. Step 3: Cross multiply
    75,251,320x = 109,973,340 × 109,973,340
  4. Step 4: Simplify right side
    75,251,320x = 12,094,135,510,755,600
  5. Step 5: Solve for x
    x = 12,094,135,510,755,600/75,251,320
  6. Step 6: Final answer
    x = 160,716,589.57

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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.