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Finding the Third Proportional to 107,294.63 and 228,830.06

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Solution

The third proportional to 107,294.63 and 228,830.06 is: 488,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,294.63 : 228,830.06 = 228,830.06 : x
  2. Step 2: Convert to fraction form
    107,294.63/228,830.06 = 228,830.06/x
  3. Step 3: Cross multiply
    107,294.63x = 228,830.06 × 228,830.06
  4. Step 4: Simplify right side
    107,294.63x = 52,363,197,503.75
  5. Step 5: Solve for x
    x = 52,363,197,503.75/107,294.63
  6. Step 6: Final answer
    x = 488,031.88

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.