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Finding the Third Proportional to 102,384,987.75 and 223,924,601.25

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Solution

The third proportional to 102,384,987.75 and 223,924,601.25 is: 489,741,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,384,987.75 : 223,924,601.25 = 223,924,601.25 : x
  2. Step 2: Convert to fraction form
    102,384,987.75/223,924,601.25 = 223,924,601.25/x
  3. Step 3: Cross multiply
    102,384,987.75x = 223,924,601.25 × 223,924,601.25
  4. Step 4: Simplify right side
    102,384,987.75x = 50,142,227,044,971,504
  5. Step 5: Solve for x
    x = 50,142,227,044,971,504/102,384,987.75
  6. Step 6: Final answer
    x = 489,741,984.12

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Why These Related Problems?

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