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Finding the Third Proportional to 83,897,219.25 and 197,769,072

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Solution

The third proportional to 83,897,219.25 and 197,769,072 is: 466,196,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,897,219.25 : 197,769,072 = 197,769,072 : x
  2. Step 2: Convert to fraction form
    83,897,219.25/197,769,072 = 197,769,072/x
  3. Step 3: Cross multiply
    83,897,219.25x = 197,769,072 × 197,769,072
  4. Step 4: Simplify right side
    83,897,219.25x = 39,112,605,839,741,184
  5. Step 5: Solve for x
    x = 39,112,605,839,741,184/83,897,219.25
  6. Step 6: Final answer
    x = 466,196,689.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.