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Finding the Third Proportional to 86,234,785,314 and 187,654,447,402.50

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Solution

The third proportional to 86,234,785,314 and 187,654,447,402.50 is: 408,352,516,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,234,785,314 : 187,654,447,402.50 = 187,654,447,402.50 : x
  2. Step 2: Convert to fraction form
    86,234,785,314/187,654,447,402.50 = 187,654,447,402.50/x
  3. Step 3: Cross multiply
    86,234,785,314x = 187,654,447,402.50 × 187,654,447,402.50
  4. Step 4: Simplify right side
    86,234,785,314x = 35,214,191,629,937,638,637,568
  5. Step 5: Solve for x
    x = 35,214,191,629,937,638,637,568/86,234,785,314
  6. Step 6: Final answer
    x = 408,352,516,930.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.