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Finding the Third Proportional to 118,125,471 and 184,882,054.50

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Solution

The third proportional to 118,125,471 and 184,882,054.50 is: 289,364,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,125,471 : 184,882,054.50 = 184,882,054.50 : x
  2. Step 2: Convert to fraction form
    118,125,471/184,882,054.50 = 184,882,054.50/x
  3. Step 3: Cross multiply
    118,125,471x = 184,882,054.50 × 184,882,054.50
  4. Step 4: Simplify right side
    118,125,471x = 34,181,374,076,140,972
  5. Step 5: Solve for x
    x = 34,181,374,076,140,972/118,125,471
  6. Step 6: Final answer
    x = 289,364,975.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.