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Finding the Third Proportional to 108,423,999 and 165,176,905.50

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Solution

The third proportional to 108,423,999 and 165,176,905.50 is: 251,636,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,423,999 : 165,176,905.50 = 165,176,905.50 : x
  2. Step 2: Convert to fraction form
    108,423,999/165,176,905.50 = 165,176,905.50/x
  3. Step 3: Cross multiply
    108,423,999x = 165,176,905.50 × 165,176,905.50
  4. Step 4: Simplify right side
    108,423,999x = 27,283,410,110,555,932
  5. Step 5: Solve for x
    x = 27,283,410,110,555,932/108,423,999
  6. Step 6: Final answer
    x = 251,636,264.68

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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.