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Finding the Third Proportional to 75,311,988 and 116,376,165

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Solution

The third proportional to 75,311,988 and 116,376,165 is: 179,830,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,311,988 : 116,376,165 = 116,376,165 : x
  2. Step 2: Convert to fraction form
    75,311,988/116,376,165 = 116,376,165/x
  3. Step 3: Cross multiply
    75,311,988x = 116,376,165 × 116,376,165
  4. Step 4: Simplify right side
    75,311,988x = 13,543,411,780,107,224
  5. Step 5: Solve for x
    x = 13,543,411,780,107,224/75,311,988
  6. Step 6: Final answer
    x = 179,830,756.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.