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Finding the Third Proportional to 151,219,219 and 233,544,498

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Solution

The third proportional to 151,219,219 and 233,544,498 is: 360,688,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,219,219 : 233,544,498 = 233,544,498 : x
  2. Step 2: Convert to fraction form
    151,219,219/233,544,498 = 233,544,498/x
  3. Step 3: Cross multiply
    151,219,219x = 233,544,498 × 233,544,498
  4. Step 4: Simplify right side
    151,219,219x = 54,543,032,546,072,000
  5. Step 5: Solve for x
    x = 54,543,032,546,072,000/151,219,219
  6. Step 6: Final answer
    x = 360,688,495.20

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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.