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Finding the Third Proportional to 81,092,457 and 167,933,686.50

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Solution

The third proportional to 81,092,457 and 167,933,686.50 is: 347,772,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,092,457 : 167,933,686.50 = 167,933,686.50 : x
  2. Step 2: Convert to fraction form
    81,092,457/167,933,686.50 = 167,933,686.50/x
  3. Step 3: Cross multiply
    81,092,457x = 167,933,686.50 × 167,933,686.50
  4. Step 4: Simplify right side
    81,092,457x = 28,201,723,061,480,284
  5. Step 5: Solve for x
    x = 28,201,723,061,480,284/81,092,457
  6. Step 6: Final answer
    x = 347,772,457.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.