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Finding the Third Proportional to 161,713,773.75 and 351,761,473.50

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Solution

The third proportional to 161,713,773.75 and 351,761,473.50 is: 765,155,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,713,773.75 : 351,761,473.50 = 351,761,473.50 : x
  2. Step 2: Convert to fraction form
    161,713,773.75/351,761,473.50 = 351,761,473.50/x
  3. Step 3: Cross multiply
    161,713,773.75x = 351,761,473.50 × 351,761,473.50
  4. Step 4: Simplify right side
    161,713,773.75x = 123,736,134,238,891,200
  5. Step 5: Solve for x
    x = 123,736,134,238,891,200/161,713,773.75
  6. Step 6: Final answer
    x = 765,155,195.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.