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Finding the Third Proportional to 44,332.50 and 97,278

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Solution

The third proportional to 44,332.50 and 97,278 is: 213,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,332.50 : 97,278 = 97,278 : x
  2. Step 2: Convert to fraction form
    44,332.50/97,278 = 97,278/x
  3. Step 3: Cross multiply
    44,332.50x = 97,278 × 97,278
  4. Step 4: Simplify right side
    44,332.50x = 9,463,009,284
  5. Step 5: Solve for x
    x = 9,463,009,284/44,332.50
  6. Step 6: Final answer
    x = 213,455.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.