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Finding the Third Proportional to 106,778,234 and 229,652,788

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Solution

The third proportional to 106,778,234 and 229,652,788 is: 493,924,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,778,234 : 229,652,788 = 229,652,788 : x
  2. Step 2: Convert to fraction form
    106,778,234/229,652,788 = 229,652,788/x
  3. Step 3: Cross multiply
    106,778,234x = 229,652,788 × 229,652,788
  4. Step 4: Simplify right side
    106,778,234x = 52,740,403,036,172,944
  5. Step 5: Solve for x
    x = 52,740,403,036,172,944/106,778,234
  6. Step 6: Final answer
    x = 493,924,661.05

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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.