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Finding the Third Proportional to 82,111,243.50 and 114,796,352.25

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Solution

The third proportional to 82,111,243.50 and 114,796,352.25 is: 160,492,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111,243.50 : 114,796,352.25 = 114,796,352.25 : x
  2. Step 2: Convert to fraction form
    82,111,243.50/114,796,352.25 = 114,796,352.25/x
  3. Step 3: Cross multiply
    82,111,243.50x = 114,796,352.25 × 114,796,352.25
  4. Step 4: Simplify right side
    82,111,243.50x = 13,178,202,489,906,080
  5. Step 5: Solve for x
    x = 13,178,202,489,906,080/82,111,243.50
  6. Step 6: Final answer
    x = 160,492,058.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.