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Finding the Third Proportional to 108,840,146 and 236,811,316

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Solution

The third proportional to 108,840,146 and 236,811,316 is: 515,247,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,840,146 : 236,811,316 = 236,811,316 : x
  2. Step 2: Convert to fraction form
    108,840,146/236,811,316 = 236,811,316/x
  3. Step 3: Cross multiply
    108,840,146x = 236,811,316 × 236,811,316
  4. Step 4: Simplify right side
    108,840,146x = 56,079,599,385,651,856
  5. Step 5: Solve for x
    x = 56,079,599,385,651,856/108,840,146
  6. Step 6: Final answer
    x = 515,247,373.76

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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.