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Finding the Third Proportional to 48,739,428 and 107,045,343

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Solution

The third proportional to 48,739,428 and 107,045,343 is: 235,101,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,739,428 : 107,045,343 = 107,045,343 : x
  2. Step 2: Convert to fraction form
    48,739,428/107,045,343 = 107,045,343/x
  3. Step 3: Cross multiply
    48,739,428x = 107,045,343 × 107,045,343
  4. Step 4: Simplify right side
    48,739,428x = 11,458,705,457,987,648
  5. Step 5: Solve for x
    x = 11,458,705,457,987,648/48,739,428
  6. Step 6: Final answer
    x = 235,101,352.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.