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Finding the Third Proportional to 151,012,133 and 233,194,259

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Solution

The third proportional to 151,012,133 and 233,194,259 is: 360,100,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,012,133 : 233,194,259 = 233,194,259 : x
  2. Step 2: Convert to fraction form
    151,012,133/233,194,259 = 233,194,259/x
  3. Step 3: Cross multiply
    151,012,133x = 233,194,259 × 233,194,259
  4. Step 4: Simplify right side
    151,012,133x = 54,379,562,430,559,080
  5. Step 5: Solve for x
    x = 54,379,562,430,559,080/151,012,133
  6. Step 6: Final answer
    x = 360,100,618.08

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Why These Related Problems?

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