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Finding the Third Proportional to 117,984,286.13 and 178,616,071.69

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Solution

The third proportional to 117,984,286.13 and 178,616,071.69 is: 270,406,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,984,286.13 : 178,616,071.69 = 178,616,071.69 : x
  2. Step 2: Convert to fraction form
    117,984,286.13/178,616,071.69 = 178,616,071.69/x
  3. Step 3: Cross multiply
    117,984,286.13x = 178,616,071.69 × 178,616,071.69
  4. Step 4: Simplify right side
    117,984,286.13x = 31,903,701,065,074,140
  5. Step 5: Solve for x
    x = 31,903,701,065,074,140/117,984,286.13
  6. Step 6: Final answer
    x = 270,406,357.60

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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.