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Finding the Third Proportional to 101,176,485.75 and 152,867,067.75

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Solution

The third proportional to 101,176,485.75 and 152,867,067.75 is: 230,966,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176,485.75 : 152,867,067.75 = 152,867,067.75 : x
  2. Step 2: Convert to fraction form
    101,176,485.75/152,867,067.75 = 152,867,067.75/x
  3. Step 3: Cross multiply
    101,176,485.75x = 152,867,067.75 × 152,867,067.75
  4. Step 4: Simplify right side
    101,176,485.75x = 23,368,340,402,483,092
  5. Step 5: Solve for x
    x = 23,368,340,402,483,092/101,176,485.75
  6. Step 6: Final answer
    x = 230,966,120.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.