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Finding the Third Proportional to 75,944,845.50 and 165,688,521

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Solution

The third proportional to 75,944,845.50 and 165,688,521 is: 361,481,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,944,845.50 : 165,688,521 = 165,688,521 : x
  2. Step 2: Convert to fraction form
    75,944,845.50/165,688,521 = 165,688,521/x
  3. Step 3: Cross multiply
    75,944,845.50x = 165,688,521 × 165,688,521
  4. Step 4: Simplify right side
    75,944,845.50x = 27,452,685,991,167,440
  5. Step 5: Solve for x
    x = 27,452,685,991,167,440/75,944,845.50
  6. Step 6: Final answer
    x = 361,481,886.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.