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Finding the Third Proportional to 75,482,500.50 and 165,097,341

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Solution

The third proportional to 75,482,500.50 and 165,097,341 is: 361,105,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,482,500.50 : 165,097,341 = 165,097,341 : x
  2. Step 2: Convert to fraction form
    75,482,500.50/165,097,341 = 165,097,341/x
  3. Step 3: Cross multiply
    75,482,500.50x = 165,097,341 × 165,097,341
  4. Step 4: Simplify right side
    75,482,500.50x = 27,257,132,005,270,280
  5. Step 5: Solve for x
    x = 27,257,132,005,270,280/75,482,500.50
  6. Step 6: Final answer
    x = 361,105,313.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.