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Finding the Third Proportional to 45,369 and 97,663.50

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Solution

The third proportional to 45,369 and 97,663.50 is: 210,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,369 : 97,663.50 = 97,663.50 : x
  2. Step 2: Convert to fraction form
    45,369/97,663.50 = 97,663.50/x
  3. Step 3: Cross multiply
    45,369x = 97,663.50 × 97,663.50
  4. Step 4: Simplify right side
    45,369x = 9,538,159,232.25
  5. Step 5: Solve for x
    x = 9,538,159,232.25/45,369
  6. Step 6: Final answer
    x = 210,235.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.