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Finding the Third Proportional to 80,153,693.13 and 175,064,713.25

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Solution

The third proportional to 80,153,693.13 and 175,064,713.25 is: 382,361,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,153,693.13 : 175,064,713.25 = 175,064,713.25 : x
  2. Step 2: Convert to fraction form
    80,153,693.13/175,064,713.25 = 175,064,713.25/x
  3. Step 3: Cross multiply
    80,153,693.13x = 175,064,713.25 × 175,064,713.25
  4. Step 4: Simplify right side
    80,153,693.13x = 30,647,653,825,304,724
  5. Step 5: Solve for x
    x = 30,647,653,825,304,724/80,153,693.13
  6. Step 6: Final answer
    x = 382,361,094.42

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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.