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Finding the Third Proportional to 151,048,321 and 233,245,025

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Solution

The third proportional to 151,048,321 and 233,245,025 is: 360,171,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,321 : 233,245,025 = 233,245,025 : x
  2. Step 2: Convert to fraction form
    151,048,321/233,245,025 = 233,245,025/x
  3. Step 3: Cross multiply
    151,048,321x = 233,245,025 × 233,245,025
  4. Step 4: Simplify right side
    151,048,321x = 54,403,241,687,250,624
  5. Step 5: Solve for x
    x = 54,403,241,687,250,624/151,048,321
  6. Step 6: Final answer
    x = 360,171,111.65

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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.