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Finding the Third Proportional to 49,735,392 and 107,029,056

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Solution

The third proportional to 49,735,392 and 107,029,056 is: 230,323,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,392 : 107,029,056 = 107,029,056 : x
  2. Step 2: Convert to fraction form
    49,735,392/107,029,056 = 107,029,056/x
  3. Step 3: Cross multiply
    49,735,392x = 107,029,056 × 107,029,056
  4. Step 4: Simplify right side
    49,735,392x = 11,455,218,828,251,136
  5. Step 5: Solve for x
    x = 11,455,218,828,251,136/49,735,392
  6. Step 6: Final answer
    x = 230,323,284.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.