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Finding the Third Proportional to 196,802.95 and 429,217.26

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Solution

The third proportional to 196,802.95 and 429,217.26 is: 936,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,802.95 : 429,217.26 = 429,217.26 : x
  2. Step 2: Convert to fraction form
    196,802.95/429,217.26 = 429,217.26/x
  3. Step 3: Cross multiply
    196,802.95x = 429,217.26 × 429,217.26
  4. Step 4: Simplify right side
    196,802.95x = 184,227,456,080.71
  5. Step 5: Solve for x
    x = 184,227,456,080.71/196,802.95
  6. Step 6: Final answer
    x = 936,101.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.