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Finding the Third Proportional to 97,042.22 and 209,666.81

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Solution

The third proportional to 97,042.22 and 209,666.81 is: 453,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,042.22 : 209,666.81 = 209,666.81 : x
  2. Step 2: Convert to fraction form
    97,042.22/209,666.81 = 209,666.81/x
  3. Step 3: Cross multiply
    97,042.22x = 209,666.81 × 209,666.81
  4. Step 4: Simplify right side
    97,042.22x = 43,960,172,263.91
  5. Step 5: Solve for x
    x = 43,960,172,263.91/97,042.22
  6. Step 6: Final answer
    x = 453,000.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.