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Finding the Third Proportional to 75,082,775.50 and 116,196,567

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Solution

The third proportional to 75,082,775.50 and 116,196,567 is: 179,823,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082,775.50 : 116,196,567 = 116,196,567 : x
  2. Step 2: Convert to fraction form
    75,082,775.50/116,196,567 = 116,196,567/x
  3. Step 3: Cross multiply
    75,082,775.50x = 116,196,567 × 116,196,567
  4. Step 4: Simplify right side
    75,082,775.50x = 13,501,642,182,585,488
  5. Step 5: Solve for x
    x = 13,501,642,182,585,488/75,082,775.50
  6. Step 6: Final answer
    x = 179,823,429.44

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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.