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Finding the Third Proportional to 98,815,896 and 214,642,592

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Solution

The third proportional to 98,815,896 and 214,642,592 is: 466,235,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,815,896 : 214,642,592 = 214,642,592 : x
  2. Step 2: Convert to fraction form
    98,815,896/214,642,592 = 214,642,592/x
  3. Step 3: Cross multiply
    98,815,896x = 214,642,592 × 214,642,592
  4. Step 4: Simplify right side
    98,815,896x = 46,071,442,300,478,464
  5. Step 5: Solve for x
    x = 46,071,442,300,478,464/98,815,896
  6. Step 6: Final answer
    x = 466,235,131.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.