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Finding the Third Proportional to 89,079,726 and 186,304,319

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Solution

The third proportional to 89,079,726 and 186,304,319 is: 389,643,085.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,079,726 : 186,304,319 = 186,304,319 : x
  2. Step 2: Convert to fraction form
    89,079,726/186,304,319 = 186,304,319/x
  3. Step 3: Cross multiply
    89,079,726x = 186,304,319 × 186,304,319
  4. Step 4: Simplify right side
    89,079,726x = 34,709,299,278,053,760
  5. Step 5: Solve for x
    x = 34,709,299,278,053,760/89,079,726
  6. Step 6: Final answer
    x = 389,643,085.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.