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Finding the Third Proportional to 75,486,901.50 and 165,104,010

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Solution

The third proportional to 75,486,901.50 and 165,104,010 is: 361,113,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,486,901.50 : 165,104,010 = 165,104,010 : x
  2. Step 2: Convert to fraction form
    75,486,901.50/165,104,010 = 165,104,010/x
  3. Step 3: Cross multiply
    75,486,901.50x = 165,104,010 × 165,104,010
  4. Step 4: Simplify right side
    75,486,901.50x = 27,259,334,118,080,100
  5. Step 5: Solve for x
    x = 27,259,334,118,080,100/75,486,901.50
  6. Step 6: Final answer
    x = 361,113,432.61

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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.