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Finding the Third Proportional to 105,465,840.75 and 167,824,143

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Solution

The third proportional to 105,465,840.75 and 167,824,143 is: 267,052,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,465,840.75 : 167,824,143 = 167,824,143 : x
  2. Step 2: Convert to fraction form
    105,465,840.75/167,824,143 = 167,824,143/x
  3. Step 3: Cross multiply
    105,465,840.75x = 167,824,143 × 167,824,143
  4. Step 4: Simplify right side
    105,465,840.75x = 28,164,942,973,684,448
  5. Step 5: Solve for x
    x = 28,164,942,973,684,448/105,465,840.75
  6. Step 6: Final answer
    x = 267,052,751.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.