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Finding the Third Proportional to 97,068 and 207,630.13

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Solution

The third proportional to 97,068 and 207,630.13 is: 444,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,068 : 207,630.13 = 207,630.13 : x
  2. Step 2: Convert to fraction form
    97,068/207,630.13 = 207,630.13/x
  3. Step 3: Cross multiply
    97,068x = 207,630.13 × 207,630.13
  4. Step 4: Simplify right side
    97,068x = 43,110,268,807.52
  5. Step 5: Solve for x
    x = 43,110,268,807.52/97,068
  6. Step 6: Final answer
    x = 444,124.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.