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Finding the Third Proportional to 97,403.63 and 155,605.50

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Solution

The third proportional to 97,403.63 and 155,605.50 is: 248,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,403.63 : 155,605.50 = 155,605.50 : x
  2. Step 2: Convert to fraction form
    97,403.63/155,605.50 = 155,605.50/x
  3. Step 3: Cross multiply
    97,403.63x = 155,605.50 × 155,605.50
  4. Step 4: Simplify right side
    97,403.63x = 24,213,071,630.25
  5. Step 5: Solve for x
    x = 24,213,071,630.25/97,403.63
  6. Step 6: Final answer
    x = 248,584.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.