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Finding the Third Proportional to 96,848.63 and 205,420.50

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Solution

The third proportional to 96,848.63 and 205,420.50 is: 435,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,848.63 : 205,420.50 = 205,420.50 : x
  2. Step 2: Convert to fraction form
    96,848.63/205,420.50 = 205,420.50/x
  3. Step 3: Cross multiply
    96,848.63x = 205,420.50 × 205,420.50
  4. Step 4: Simplify right side
    96,848.63x = 42,197,581,820.25
  5. Step 5: Solve for x
    x = 42,197,581,820.25/96,848.63
  6. Step 6: Final answer
    x = 435,706.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.