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Finding the Third Proportional to 115,313,001.75 and 185,691,909.75

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Solution

The third proportional to 115,313,001.75 and 185,691,909.75 is: 299,025,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,313,001.75 : 185,691,909.75 = 185,691,909.75 : x
  2. Step 2: Convert to fraction form
    115,313,001.75/185,691,909.75 = 185,691,909.75/x
  3. Step 3: Cross multiply
    115,313,001.75x = 185,691,909.75 × 185,691,909.75
  4. Step 4: Simplify right side
    115,313,001.75x = 34,481,485,346,602,144
  5. Step 5: Solve for x
    x = 34,481,485,346,602,144/115,313,001.75
  6. Step 6: Final answer
    x = 299,025,130.07

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.