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Finding the Third Proportional to 109,017,493.50 and 167,567,398.50

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Solution

The third proportional to 109,017,493.50 and 167,567,398.50 is: 257,562,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,017,493.50 : 167,567,398.50 = 167,567,398.50 : x
  2. Step 2: Convert to fraction form
    109,017,493.50/167,567,398.50 = 167,567,398.50/x
  3. Step 3: Cross multiply
    109,017,493.50x = 167,567,398.50 × 167,567,398.50
  4. Step 4: Simplify right side
    109,017,493.50x = 28,078,833,040,057,804
  5. Step 5: Solve for x
    x = 28,078,833,040,057,804/109,017,493.50
  6. Step 6: Final answer
    x = 257,562,636.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.