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Finding the Third Proportional to 151,048,009 and 233,244,549

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Solution

The third proportional to 151,048,009 and 233,244,549 is: 360,170,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,009 : 233,244,549 = 233,244,549 : x
  2. Step 2: Convert to fraction form
    151,048,009/233,244,549 = 233,244,549/x
  3. Step 3: Cross multiply
    151,048,009x = 233,244,549 × 233,244,549
  4. Step 4: Simplify right side
    151,048,009x = 54,403,019,638,213,400
  5. Step 5: Solve for x
    x = 54,403,019,638,213,400/151,048,009
  6. Step 6: Final answer
    x = 360,170,385.55

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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.