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Finding the Third Proportional to 97,048.13 and 205,669.13

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Solution

The third proportional to 97,048.13 and 205,669.13 is: 435,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,048.13 : 205,669.13 = 205,669.13 : x
  2. Step 2: Convert to fraction form
    97,048.13/205,669.13 = 205,669.13/x
  3. Step 3: Cross multiply
    97,048.13x = 205,669.13 × 205,669.13
  4. Step 4: Simplify right side
    97,048.13x = 42,299,788,978.27
  5. Step 5: Solve for x
    x = 42,299,788,978.27/97,048.13
  6. Step 6: Final answer
    x = 435,864.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.