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Finding the Third Proportional to 185,036,877.75 and 411,434,055.75

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Solution

The third proportional to 185,036,877.75 and 411,434,055.75 is: 914,833,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,036,877.75 : 411,434,055.75 = 411,434,055.75 : x
  2. Step 2: Convert to fraction form
    185,036,877.75/411,434,055.75 = 411,434,055.75/x
  3. Step 3: Cross multiply
    185,036,877.75x = 411,434,055.75 × 411,434,055.75
  4. Step 4: Simplify right side
    185,036,877.75x = 169,277,982,230,894,112
  5. Step 5: Solve for x
    x = 169,277,982,230,894,112/185,036,877.75
  6. Step 6: Final answer
    x = 914,833,757.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.