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Finding the Third Proportional to 75,841,805.25 and 165,726,199.13

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Solution

The third proportional to 75,841,805.25 and 165,726,199.13 is: 362,137,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,841,805.25 : 165,726,199.13 = 165,726,199.13 : x
  2. Step 2: Convert to fraction form
    75,841,805.25/165,726,199.13 = 165,726,199.13/x
  3. Step 3: Cross multiply
    75,841,805.25x = 165,726,199.13 × 165,726,199.13
  4. Step 4: Simplify right side
    75,841,805.25x = 27,465,173,076,419,152
  5. Step 5: Solve for x
    x = 27,465,173,076,419,152/75,841,805.25
  6. Step 6: Final answer
    x = 362,137,649.36

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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.