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Finding the Third Proportional to 97,070.06 and 207,635.06

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Solution

The third proportional to 97,070.06 and 207,635.06 is: 444,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,070.06 : 207,635.06 = 207,635.06 : x
  2. Step 2: Convert to fraction form
    97,070.06/207,635.06 = 207,635.06/x
  3. Step 3: Cross multiply
    97,070.06x = 207,635.06 × 207,635.06
  4. Step 4: Simplify right side
    97,070.06x = 43,112,319,179.38
  5. Step 5: Solve for x
    x = 43,112,319,179.38/97,070.06
  6. Step 6: Final answer
    x = 444,136.10

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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.