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Finding the Third Proportional to 99,926,712 and 222,829,814.25

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Solution

The third proportional to 99,926,712 and 222,829,814.25 is: 496,895,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,926,712 : 222,829,814.25 = 222,829,814.25 : x
  2. Step 2: Convert to fraction form
    99,926,712/222,829,814.25 = 222,829,814.25/x
  3. Step 3: Cross multiply
    99,926,712x = 222,829,814.25 × 222,829,814.25
  4. Step 4: Simplify right side
    99,926,712x = 49,653,126,118,689,504
  5. Step 5: Solve for x
    x = 49,653,126,118,689,504/99,926,712
  6. Step 6: Final answer
    x = 496,895,425.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.