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Finding the Third Proportional to 105,789,969 and 163,472,457

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Solution

The third proportional to 105,789,969 and 163,472,457 is: 252,606,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,789,969 : 163,472,457 = 163,472,457 : x
  2. Step 2: Convert to fraction form
    105,789,969/163,472,457 = 163,472,457/x
  3. Step 3: Cross multiply
    105,789,969x = 163,472,457 × 163,472,457
  4. Step 4: Simplify right side
    105,789,969x = 26,723,244,197,616,848
  5. Step 5: Solve for x
    x = 26,723,244,197,616,848/105,789,969
  6. Step 6: Final answer
    x = 252,606,598.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.