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Finding the Third Proportional to 106,428,262.50 and 229,468,977

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Solution

The third proportional to 106,428,262.50 and 229,468,977 is: 494,755,905.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,428,262.50 : 229,468,977 = 229,468,977 : x
  2. Step 2: Convert to fraction form
    106,428,262.50/229,468,977 = 229,468,977/x
  3. Step 3: Cross multiply
    106,428,262.50x = 229,468,977 × 229,468,977
  4. Step 4: Simplify right side
    106,428,262.50x = 52,656,011,405,426,528
  5. Step 5: Solve for x
    x = 52,656,011,405,426,528/106,428,262.50
  6. Step 6: Final answer
    x = 494,755,905.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.