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Finding the Third Proportional to 75,493,548 and 165,117,222

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Solution

The third proportional to 75,493,548 and 165,117,222 is: 361,139,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,493,548 : 165,117,222 = 165,117,222 : x
  2. Step 2: Convert to fraction form
    75,493,548/165,117,222 = 165,117,222/x
  3. Step 3: Cross multiply
    75,493,548x = 165,117,222 × 165,117,222
  4. Step 4: Simplify right side
    75,493,548x = 27,263,697,000,997,284
  5. Step 5: Solve for x
    x = 27,263,697,000,997,284/75,493,548
  6. Step 6: Final answer
    x = 361,139,431.43

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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.