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Finding the Third Proportional to 108,285,126.75 and 233,829,267.75

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Solution

The third proportional to 108,285,126.75 and 233,829,267.75 is: 504,927,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,285,126.75 : 233,829,267.75 = 233,829,267.75 : x
  2. Step 2: Convert to fraction form
    108,285,126.75/233,829,267.75 = 233,829,267.75/x
  3. Step 3: Cross multiply
    108,285,126.75x = 233,829,267.75 × 233,829,267.75
  4. Step 4: Simplify right side
    108,285,126.75x = 54,676,126,456,501,192
  5. Step 5: Solve for x
    x = 54,676,126,456,501,192/108,285,126.75
  6. Step 6: Final answer
    x = 504,927,390.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.