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Finding the Third Proportional to 41,607 and 97,645.50

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Solution

The third proportional to 41,607 and 97,645.50 is: 229,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,607 : 97,645.50 = 97,645.50 : x
  2. Step 2: Convert to fraction form
    41,607/97,645.50 = 97,645.50/x
  3. Step 3: Cross multiply
    41,607x = 97,645.50 × 97,645.50
  4. Step 4: Simplify right side
    41,607x = 9,534,643,670.25
  5. Step 5: Solve for x
    x = 9,534,643,670.25/41,607
  6. Step 6: Final answer
    x = 229,159.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.