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Finding the Third Proportional to 75,458,616 and 161,675,328

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Solution

The third proportional to 75,458,616 and 161,675,328 is: 346,400,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,458,616 : 161,675,328 = 161,675,328 : x
  2. Step 2: Convert to fraction form
    75,458,616/161,675,328 = 161,675,328/x
  3. Step 3: Cross multiply
    75,458,616x = 161,675,328 × 161,675,328
  4. Step 4: Simplify right side
    75,458,616x = 26,138,911,683,907,584
  5. Step 5: Solve for x
    x = 26,138,911,683,907,584/75,458,616
  6. Step 6: Final answer
    x = 346,400,624.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.