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Finding the Third Proportional to 48,117,174 and 112,277,295

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Solution

The third proportional to 48,117,174 and 112,277,295 is: 261,989,429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,117,174 : 112,277,295 = 112,277,295 : x
  2. Step 2: Convert to fraction form
    48,117,174/112,277,295 = 112,277,295/x
  3. Step 3: Cross multiply
    48,117,174x = 112,277,295 × 112,277,295
  4. Step 4: Simplify right side
    48,117,174x = 12,606,190,972,517,024
  5. Step 5: Solve for x
    x = 12,606,190,972,517,024/48,117,174
  6. Step 6: Final answer
    x = 261,989,429.65

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.