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Finding the Third Proportional to 64,163,217 and 138,553,647

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Solution

The third proportional to 64,163,217 and 138,553,647 is: 299,191,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,163,217 : 138,553,647 = 138,553,647 : x
  2. Step 2: Convert to fraction form
    64,163,217/138,553,647 = 138,553,647/x
  3. Step 3: Cross multiply
    64,163,217x = 138,553,647 × 138,553,647
  4. Step 4: Simplify right side
    64,163,217x = 19,197,113,097,000,608
  5. Step 5: Solve for x
    x = 19,197,113,097,000,608/64,163,217
  6. Step 6: Final answer
    x = 299,191,873.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.