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Finding the Third Proportional to 151,047,991 and 233,244,523

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Solution

The third proportional to 151,047,991 and 233,244,523 is: 360,170,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,047,991 : 233,244,523 = 233,244,523 : x
  2. Step 2: Convert to fraction form
    151,047,991/233,244,523 = 233,244,523/x
  3. Step 3: Cross multiply
    151,047,991x = 233,244,523 × 233,244,523
  4. Step 4: Simplify right side
    151,047,991x = 54,403,007,509,497,528
  5. Step 5: Solve for x
    x = 54,403,007,509,497,528/151,047,991
  6. Step 6: Final answer
    x = 360,170,348.17

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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.