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Finding the Third Proportional to 98,419,968 and 229,953,456

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Solution

The third proportional to 98,419,968 and 229,953,456 is: 537,275,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,419,968 : 229,953,456 = 229,953,456 : x
  2. Step 2: Convert to fraction form
    98,419,968/229,953,456 = 229,953,456/x
  3. Step 3: Cross multiply
    98,419,968x = 229,953,456 × 229,953,456
  4. Step 4: Simplify right side
    98,419,968x = 52,878,591,926,343,936
  5. Step 5: Solve for x
    x = 52,878,591,926,343,936/98,419,968
  6. Step 6: Final answer
    x = 537,275,036.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.