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Finding the Third Proportional to 97,909,965 and 213,114,672

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Solution

The third proportional to 97,909,965 and 213,114,672 is: 463,873,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,909,965 : 213,114,672 = 213,114,672 : x
  2. Step 2: Convert to fraction form
    97,909,965/213,114,672 = 213,114,672/x
  3. Step 3: Cross multiply
    97,909,965x = 213,114,672 × 213,114,672
  4. Step 4: Simplify right side
    97,909,965x = 45,417,863,421,667,584
  5. Step 5: Solve for x
    x = 45,417,863,421,667,584/97,909,965
  6. Step 6: Final answer
    x = 463,873,758.12

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Why These Related Problems?

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