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Finding the Third Proportional to 106,398,654 and 229,210,716

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Solution

The third proportional to 106,398,654 and 229,210,716 is: 493,780,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,398,654 : 229,210,716 = 229,210,716 : x
  2. Step 2: Convert to fraction form
    106,398,654/229,210,716 = 229,210,716/x
  3. Step 3: Cross multiply
    106,398,654x = 229,210,716 × 229,210,716
  4. Step 4: Simplify right side
    106,398,654x = 52,537,552,329,232,656
  5. Step 5: Solve for x
    x = 52,537,552,329,232,656/106,398,654
  6. Step 6: Final answer
    x = 493,780,234.56

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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.