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Finding the Third Proportional to 118,406,591,172 and 255,685,139,468

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Solution

The third proportional to 118,406,591,172 and 255,685,139,468 is: 552,122,055,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,406,591,172 : 255,685,139,468 = 255,685,139,468 : x
  2. Step 2: Convert to fraction form
    118,406,591,172/255,685,139,468 = 255,685,139,468/x
  3. Step 3: Cross multiply
    118,406,591,172x = 255,685,139,468 × 255,685,139,468
  4. Step 4: Simplify right side
    118,406,591,172x = 65,374,890,544,770,609,840,128
  5. Step 5: Solve for x
    x = 65,374,890,544,770,609,840,128/118,406,591,172
  6. Step 6: Final answer
    x = 552,122,055,855.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.