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Finding the Third Proportional to 75,769,804 and 110,820,348

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Solution

The third proportional to 75,769,804 and 110,820,348 is: 162,085,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,769,804 : 110,820,348 = 110,820,348 : x
  2. Step 2: Convert to fraction form
    75,769,804/110,820,348 = 110,820,348/x
  3. Step 3: Cross multiply
    75,769,804x = 110,820,348 × 110,820,348
  4. Step 4: Simplify right side
    75,769,804x = 12,281,149,530,841,104
  5. Step 5: Solve for x
    x = 12,281,149,530,841,104/75,769,804
  6. Step 6: Final answer
    x = 162,085,011.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.