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Finding the Third Proportional to 187,599,109 and 407,492,342

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Solution

The third proportional to 187,599,109 and 407,492,342 is: 885,132,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,599,109 : 407,492,342 = 407,492,342 : x
  2. Step 2: Convert to fraction form
    187,599,109/407,492,342 = 407,492,342/x
  3. Step 3: Cross multiply
    187,599,109x = 407,492,342 × 407,492,342
  4. Step 4: Simplify right side
    187,599,109x = 166,050,008,788,644,960
  5. Step 5: Solve for x
    x = 166,050,008,788,644,960/187,599,109
  6. Step 6: Final answer
    x = 885,132,182.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.