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Finding the Third Proportional to 98,373.75 and 217,421.63

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Solution

The third proportional to 98,373.75 and 217,421.63 is: 480,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,373.75 : 217,421.63 = 217,421.63 : x
  2. Step 2: Convert to fraction form
    98,373.75/217,421.63 = 217,421.63/x
  3. Step 3: Cross multiply
    98,373.75x = 217,421.63 × 217,421.63
  4. Step 4: Simplify right side
    98,373.75x = 47,272,163,017.64
  5. Step 5: Solve for x
    x = 47,272,163,017.64/98,373.75
  6. Step 6: Final answer
    x = 480,536.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.