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Finding the Third Proportional to 89,971,836,784 and 187,390,589,364

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Solution

The third proportional to 89,971,836,784 and 187,390,589,364 is: 390,291,387,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,971,836,784 : 187,390,589,364 = 187,390,589,364 : x
  2. Step 2: Convert to fraction form
    89,971,836,784/187,390,589,364 = 187,390,589,364/x
  3. Step 3: Cross multiply
    89,971,836,784x = 187,390,589,364 × 187,390,589,364
  4. Step 4: Simplify right side
    89,971,836,784x = 35,115,232,982,187,269,685,248
  5. Step 5: Solve for x
    x = 35,115,232,982,187,269,685,248/89,971,836,784
  6. Step 6: Final answer
    x = 390,291,387,142.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.