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Finding the Third Proportional to 82,908,678.94 and 177,464,055.94

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Solution

The third proportional to 82,908,678.94 and 177,464,055.94 is: 379,857,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,908,678.94 : 177,464,055.94 = 177,464,055.94 : x
  2. Step 2: Convert to fraction form
    82,908,678.94/177,464,055.94 = 177,464,055.94/x
  3. Step 3: Cross multiply
    82,908,678.94x = 177,464,055.94 × 177,464,055.94
  4. Step 4: Simplify right side
    82,908,678.94x = 31,493,491,149,788,128
  5. Step 5: Solve for x
    x = 31,493,491,149,788,128/82,908,678.94
  6. Step 6: Final answer
    x = 379,857,592.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.