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Finding the Third Proportional to 82,205,148 and 176,810,588

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Solution

The third proportional to 82,205,148 and 176,810,588 is: 380,292,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,205,148 : 176,810,588 = 176,810,588 : x
  2. Step 2: Convert to fraction form
    82,205,148/176,810,588 = 176,810,588/x
  3. Step 3: Cross multiply
    82,205,148x = 176,810,588 × 176,810,588
  4. Step 4: Simplify right side
    82,205,148x = 31,261,984,028,905,744
  5. Step 5: Solve for x
    x = 31,261,984,028,905,744/82,205,148
  6. Step 6: Final answer
    x = 380,292,290.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.