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Finding the Third Proportional to 75,455,512.50 and 161,667,784.50

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Solution

The third proportional to 75,455,512.50 and 161,667,784.50 is: 346,382,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,455,512.50 : 161,667,784.50 = 161,667,784.50 : x
  2. Step 2: Convert to fraction form
    75,455,512.50/161,667,784.50 = 161,667,784.50/x
  3. Step 3: Cross multiply
    75,455,512.50x = 161,667,784.50 × 161,667,784.50
  4. Step 4: Simplify right side
    75,455,512.50x = 26,136,472,545,138,440
  5. Step 5: Solve for x
    x = 26,136,472,545,138,440/75,455,512.50
  6. Step 6: Final answer
    x = 346,382,546.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.