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Finding the Third Proportional to 102,938,938 and 226,281,857.50

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Solution

The third proportional to 102,938,938 and 226,281,857.50 is: 497,416,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,938,938 : 226,281,857.50 = 226,281,857.50 : x
  2. Step 2: Convert to fraction form
    102,938,938/226,281,857.50 = 226,281,857.50/x
  3. Step 3: Cross multiply
    102,938,938x = 226,281,857.50 × 226,281,857.50
  4. Step 4: Simplify right side
    102,938,938x = 51,203,479,033,650,304
  5. Step 5: Solve for x
    x = 51,203,479,033,650,304/102,938,938
  6. Step 6: Final answer
    x = 497,416,041.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.