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Finding the Third Proportional to 75,999,829.50 and 162,761,319

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Solution

The third proportional to 75,999,829.50 and 162,761,319 is: 348,569,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999,829.50 : 162,761,319 = 162,761,319 : x
  2. Step 2: Convert to fraction form
    75,999,829.50/162,761,319 = 162,761,319/x
  3. Step 3: Cross multiply
    75,999,829.50x = 162,761,319 × 162,761,319
  4. Step 4: Simplify right side
    75,999,829.50x = 26,491,246,962,619,760
  5. Step 5: Solve for x
    x = 26,491,246,962,619,760/75,999,829.50
  6. Step 6: Final answer
    x = 348,569,820.97

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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.