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Finding the Third Proportional to 64,163,214 and 138,553,641

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Solution

The third proportional to 64,163,214 and 138,553,641 is: 299,191,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,163,214 : 138,553,641 = 138,553,641 : x
  2. Step 2: Convert to fraction form
    64,163,214/138,553,641 = 138,553,641/x
  3. Step 3: Cross multiply
    64,163,214x = 138,553,641 × 138,553,641
  4. Step 4: Simplify right side
    64,163,214x = 19,197,111,434,356,880
  5. Step 5: Solve for x
    x = 19,197,111,434,356,880/64,163,214
  6. Step 6: Final answer
    x = 299,191,861.47

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