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Finding the Third Proportional to 98,437,728 and 212,021,160

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Solution

The third proportional to 98,437,728 and 212,021,160 is: 456,664,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,437,728 : 212,021,160 = 212,021,160 : x
  2. Step 2: Convert to fraction form
    98,437,728/212,021,160 = 212,021,160/x
  3. Step 3: Cross multiply
    98,437,728x = 212,021,160 × 212,021,160
  4. Step 4: Simplify right side
    98,437,728x = 44,952,972,287,745,600
  5. Step 5: Solve for x
    x = 44,952,972,287,745,600/98,437,728
  6. Step 6: Final answer
    x = 456,664,057.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.