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Finding the Third Proportional to 121,221,808.88 and 184,859,247.94

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Solution

The third proportional to 121,221,808.88 and 184,859,247.94 is: 281,904,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,221,808.88 : 184,859,247.94 = 184,859,247.94 : x
  2. Step 2: Convert to fraction form
    121,221,808.88/184,859,247.94 = 184,859,247.94/x
  3. Step 3: Cross multiply
    121,221,808.88x = 184,859,247.94 × 184,859,247.94
  4. Step 4: Simplify right side
    121,221,808.88x = 34,172,941,548,018,100
  5. Step 5: Solve for x
    x = 34,172,941,548,018,100/121,221,808.88
  6. Step 6: Final answer
    x = 281,904,237.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.