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Finding the Third Proportional to 151,809,172.50 and 233,238,010.50

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Solution

The third proportional to 151,809,172.50 and 233,238,010.50 is: 358,344,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,809,172.50 : 233,238,010.50 = 233,238,010.50 : x
  2. Step 2: Convert to fraction form
    151,809,172.50/233,238,010.50 = 233,238,010.50/x
  3. Step 3: Cross multiply
    151,809,172.50x = 233,238,010.50 × 233,238,010.50
  4. Step 4: Simplify right side
    151,809,172.50x = 54,399,969,541,998,112
  5. Step 5: Solve for x
    x = 54,399,969,541,998,112/151,809,172.50
  6. Step 6: Final answer
    x = 358,344,417.84

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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.