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Finding the Third Proportional to 99,645,923.25 and 217,423,991.25

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Solution

The third proportional to 99,645,923.25 and 217,423,991.25 is: 474,411,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,645,923.25 : 217,423,991.25 = 217,423,991.25 : x
  2. Step 2: Convert to fraction form
    99,645,923.25/217,423,991.25 = 217,423,991.25/x
  3. Step 3: Cross multiply
    99,645,923.25x = 217,423,991.25 × 217,423,991.25
  4. Step 4: Simplify right side
    99,645,923.25x = 47,273,191,971,080,080
  5. Step 5: Solve for x
    x = 47,273,191,971,080,080/99,645,923.25
  6. Step 6: Final answer
    x = 474,411,701.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.