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Finding the Third Proportional to 209,885,618 and 461,092,900

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Solution

The third proportional to 209,885,618 and 461,092,900 is: 1,012,964,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,885,618 : 461,092,900 = 461,092,900 : x
  2. Step 2: Convert to fraction form
    209,885,618/461,092,900 = 461,092,900/x
  3. Step 3: Cross multiply
    209,885,618x = 461,092,900 × 461,092,900
  4. Step 4: Simplify right side
    209,885,618x = 212,606,662,430,409,984
  5. Step 5: Solve for x
    x = 212,606,662,430,409,984/209,885,618
  6. Step 6: Final answer
    x = 1,012,964,415.84

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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.