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Finding the Third Proportional to 101,852,447.63 and 161,544,288.94

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Solution

The third proportional to 101,852,447.63 and 161,544,288.94 is: 256,219,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,852,447.63 : 161,544,288.94 = 161,544,288.94 : x
  2. Step 2: Convert to fraction form
    101,852,447.63/161,544,288.94 = 161,544,288.94/x
  3. Step 3: Cross multiply
    101,852,447.63x = 161,544,288.94 × 161,544,288.94
  4. Step 4: Simplify right side
    101,852,447.63x = 26,096,557,288,322,484
  5. Step 5: Solve for x
    x = 26,096,557,288,322,484/101,852,447.63
  6. Step 6: Final answer
    x = 256,219,245.55

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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.