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Finding the Third Proportional to 48,969,957.38 and 106,892,399.25

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Solution

The third proportional to 48,969,957.38 and 106,892,399.25 is: 233,326,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,969,957.38 : 106,892,399.25 = 106,892,399.25 : x
  2. Step 2: Convert to fraction form
    48,969,957.38/106,892,399.25 = 106,892,399.25/x
  3. Step 3: Cross multiply
    48,969,957.38x = 106,892,399.25 × 106,892,399.25
  4. Step 4: Simplify right side
    48,969,957.38x = 11,425,985,017,421,400
  5. Step 5: Solve for x
    x = 11,425,985,017,421,400/48,969,957.38
  6. Step 6: Final answer
    x = 233,326,423.59

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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.