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Finding the Third Proportional to 72,904,400 and 102,549,176

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Solution

The third proportional to 72,904,400 and 102,549,176 is: 144,248,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,904,400 : 102,549,176 = 102,549,176 : x
  2. Step 2: Convert to fraction form
    72,904,400/102,549,176 = 102,549,176/x
  3. Step 3: Cross multiply
    72,904,400x = 102,549,176 × 102,549,176
  4. Step 4: Simplify right side
    72,904,400x = 10,516,333,498,278,976
  5. Step 5: Solve for x
    x = 10,516,333,498,278,976/72,904,400
  6. Step 6: Final answer
    x = 144,248,268.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.