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Finding the Third Proportional to 187,436,210,988 and 285,539,701,215

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Solution

The third proportional to 187,436,210,988 and 285,539,701,215 is: 434,990,232,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,436,210,988 : 285,539,701,215 = 285,539,701,215 : x
  2. Step 2: Convert to fraction form
    187,436,210,988/285,539,701,215 = 285,539,701,215/x
  3. Step 3: Cross multiply
    187,436,210,988x = 285,539,701,215 × 285,539,701,215
  4. Step 4: Simplify right side
    187,436,210,988x = 81,532,920,969,951,476,449,280
  5. Step 5: Solve for x
    x = 81,532,920,969,951,476,449,280/187,436,210,988
  6. Step 6: Final answer
    x = 434,990,232,357.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.