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Finding the Third Proportional to 99,042 and 213,484.50

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Solution

The third proportional to 99,042 and 213,484.50 is: 460,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,042 : 213,484.50 = 213,484.50 : x
  2. Step 2: Convert to fraction form
    99,042/213,484.50 = 213,484.50/x
  3. Step 3: Cross multiply
    99,042x = 213,484.50 × 213,484.50
  4. Step 4: Simplify right side
    99,042x = 45,575,631,740.25
  5. Step 5: Solve for x
    x = 45,575,631,740.25/99,042
  6. Step 6: Final answer
    x = 460,164.70

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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.