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Finding the Third Proportional to 48,370,656 and 105,244,215

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Solution

The third proportional to 48,370,656 and 105,244,215 is: 228,988,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,370,656 : 105,244,215 = 105,244,215 : x
  2. Step 2: Convert to fraction form
    48,370,656/105,244,215 = 105,244,215/x
  3. Step 3: Cross multiply
    48,370,656x = 105,244,215 × 105,244,215
  4. Step 4: Simplify right side
    48,370,656x = 11,076,344,790,966,224
  5. Step 5: Solve for x
    x = 11,076,344,790,966,224/48,370,656
  6. Step 6: Final answer
    x = 228,988,930.62

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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.