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Finding the Third Proportional to 98,816,134 and 214,643,112

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Solution

The third proportional to 98,816,134 and 214,643,112 is: 466,236,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,816,134 : 214,643,112 = 214,643,112 : x
  2. Step 2: Convert to fraction form
    98,816,134/214,643,112 = 214,643,112/x
  3. Step 3: Cross multiply
    98,816,134x = 214,643,112 × 214,643,112
  4. Step 4: Simplify right side
    98,816,134x = 46,071,665,529,044,544
  5. Step 5: Solve for x
    x = 46,071,665,529,044,544/98,816,134
  6. Step 6: Final answer
    x = 466,236,267.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.