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Finding the Third Proportional to 99,118,827 and 212,586,201

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Solution

The third proportional to 99,118,827 and 212,586,201 is: 455,946,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,118,827 : 212,586,201 = 212,586,201 : x
  2. Step 2: Convert to fraction form
    99,118,827/212,586,201 = 212,586,201/x
  3. Step 3: Cross multiply
    99,118,827x = 212,586,201 × 212,586,201
  4. Step 4: Simplify right side
    99,118,827x = 45,192,892,855,612,400
  5. Step 5: Solve for x
    x = 45,192,892,855,612,400/99,118,827
  6. Step 6: Final answer
    x = 455,946,606.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.