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Finding the Third Proportional to 232,835,713.50 and 357,885,174.75

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Solution

The third proportional to 232,835,713.50 and 357,885,174.75 is: 550,095,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,835,713.50 : 357,885,174.75 = 357,885,174.75 : x
  2. Step 2: Convert to fraction form
    232,835,713.50/357,885,174.75 = 357,885,174.75/x
  3. Step 3: Cross multiply
    232,835,713.50x = 357,885,174.75 × 357,885,174.75
  4. Step 4: Simplify right side
    232,835,713.50x = 128,081,798,305,838,032
  5. Step 5: Solve for x
    x = 128,081,798,305,838,032/232,835,713.50
  6. Step 6: Final answer
    x = 550,095,156.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.