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Finding the Third Proportional to 196,070.63 and 429,453.14

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Solution

The third proportional to 196,070.63 and 429,453.14 is: 940,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,070.63 : 429,453.14 = 429,453.14 : x
  2. Step 2: Convert to fraction form
    196,070.63/429,453.14 = 429,453.14/x
  3. Step 3: Cross multiply
    196,070.63x = 429,453.14 × 429,453.14
  4. Step 4: Simplify right side
    196,070.63x = 184,429,999,992.68
  5. Step 5: Solve for x
    x = 184,429,999,992.68/196,070.63
  6. Step 6: Final answer
    x = 940,630.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.