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Finding the Third Proportional to 106,221,829 and 228,586,210

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Solution

The third proportional to 106,221,829 and 228,586,210 is: 491,910,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,221,829 : 228,586,210 = 228,586,210 : x
  2. Step 2: Convert to fraction form
    106,221,829/228,586,210 = 228,586,210/x
  3. Step 3: Cross multiply
    106,221,829x = 228,586,210 × 228,586,210
  4. Step 4: Simplify right side
    106,221,829x = 52,251,655,402,164,096
  5. Step 5: Solve for x
    x = 52,251,655,402,164,096/106,221,829
  6. Step 6: Final answer
    x = 491,910,710.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.