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Finding the Third Proportional to 228,579,409.27 and 500,828,321.95

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Solution

The third proportional to 228,579,409.27 and 500,828,321.95 is: 1,097,338,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,579,409.27 : 500,828,321.95 = 500,828,321.95 : x
  2. Step 2: Convert to fraction form
    228,579,409.27/500,828,321.95 = 500,828,321.95/x
  3. Step 3: Cross multiply
    228,579,409.27x = 500,828,321.95 × 500,828,321.95
  4. Step 4: Simplify right side
    228,579,409.27x = 250,829,008,070,358,016
  5. Step 5: Solve for x
    x = 250,829,008,070,358,016/228,579,409.27
  6. Step 6: Final answer
    x = 1,097,338,596.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.