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Finding the Third Proportional to 102,893,409 and 226,513,017

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Solution

The third proportional to 102,893,409 and 226,513,017 is: 498,653,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,893,409 : 226,513,017 = 226,513,017 : x
  2. Step 2: Convert to fraction form
    102,893,409/226,513,017 = 226,513,017/x
  3. Step 3: Cross multiply
    102,893,409x = 226,513,017 × 226,513,017
  4. Step 4: Simplify right side
    102,893,409x = 51,308,146,870,442,288
  5. Step 5: Solve for x
    x = 51,308,146,870,442,288/102,893,409
  6. Step 6: Final answer
    x = 498,653,386.73

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Why These Related Problems?

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