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Finding the Third Proportional to 109,321,941 and 167,636,806.50

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Solution

The third proportional to 109,321,941 and 167,636,806.50 is: 257,058,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,321,941 : 167,636,806.50 = 167,636,806.50 : x
  2. Step 2: Convert to fraction form
    109,321,941/167,636,806.50 = 167,636,806.50/x
  3. Step 3: Cross multiply
    109,321,941x = 167,636,806.50 × 167,636,806.50
  4. Step 4: Simplify right side
    109,321,941x = 28,102,098,893,518,444
  5. Step 5: Solve for x
    x = 28,102,098,893,518,444/109,321,941
  6. Step 6: Final answer
    x = 257,058,177.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.