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Finding the Third Proportional to 48,596,382 and 107,098,254

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Solution

The third proportional to 48,596,382 and 107,098,254 is: 236,026,542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,596,382 : 107,098,254 = 107,098,254 : x
  2. Step 2: Convert to fraction form
    48,596,382/107,098,254 = 107,098,254/x
  3. Step 3: Cross multiply
    48,596,382x = 107,098,254 × 107,098,254
  4. Step 4: Simplify right side
    48,596,382x = 11,470,036,009,848,516
  5. Step 5: Solve for x
    x = 11,470,036,009,848,516/48,596,382
  6. Step 6: Final answer
    x = 236,026,542.26

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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.