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Finding the Third Proportional to 99,806,912 and 218,427,478

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Solution

The third proportional to 99,806,912 and 218,427,478 is: 478,028,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,806,912 : 218,427,478 = 218,427,478 : x
  2. Step 2: Convert to fraction form
    99,806,912/218,427,478 = 218,427,478/x
  3. Step 3: Cross multiply
    99,806,912x = 218,427,478 × 218,427,478
  4. Step 4: Simplify right side
    99,806,912x = 47,710,563,145,440,480
  5. Step 5: Solve for x
    x = 47,710,563,145,440,480/99,806,912
  6. Step 6: Final answer
    x = 478,028,647.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.