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Finding the Third Proportional to 110,955,876 and 176,708,295

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Solution

The third proportional to 110,955,876 and 176,708,295 is: 281,425,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,955,876 : 176,708,295 = 176,708,295 : x
  2. Step 2: Convert to fraction form
    110,955,876/176,708,295 = 176,708,295/x
  3. Step 3: Cross multiply
    110,955,876x = 176,708,295 × 176,708,295
  4. Step 4: Simplify right side
    110,955,876x = 31,225,821,521,807,024
  5. Step 5: Solve for x
    x = 31,225,821,521,807,024/110,955,876
  6. Step 6: Final answer
    x = 281,425,577.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.