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Finding the Third Proportional to 98,816,120 and 214,643,084

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Solution

The third proportional to 98,816,120 and 214,643,084 is: 466,236,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,816,120 : 214,643,084 = 214,643,084 : x
  2. Step 2: Convert to fraction form
    98,816,120/214,643,084 = 214,643,084/x
  3. Step 3: Cross multiply
    98,816,120x = 214,643,084 × 214,643,084
  4. Step 4: Simplify right side
    98,816,120x = 46,071,653,509,031,056
  5. Step 5: Solve for x
    x = 46,071,653,509,031,056/98,816,120
  6. Step 6: Final answer
    x = 466,236,212.36

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Why These Related Problems?

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