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Finding the Third Proportional to 97,428,098 and 209,552,836

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Solution

The third proportional to 97,428,098 and 209,552,836 is: 450,715,881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,428,098 : 209,552,836 = 209,552,836 : x
  2. Step 2: Convert to fraction form
    97,428,098/209,552,836 = 209,552,836/x
  3. Step 3: Cross multiply
    97,428,098x = 209,552,836 × 209,552,836
  4. Step 4: Simplify right side
    97,428,098x = 43,912,391,075,642,896
  5. Step 5: Solve for x
    x = 43,912,391,075,642,896/97,428,098
  6. Step 6: Final answer
    x = 450,715,881.53

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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.