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Finding the Third Proportional to 49,559,320 and 106,292,912

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Solution

The third proportional to 49,559,320 and 106,292,912 is: 227,972,925.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,559,320 : 106,292,912 = 106,292,912 : x
  2. Step 2: Convert to fraction form
    49,559,320/106,292,912 = 106,292,912/x
  3. Step 3: Cross multiply
    49,559,320x = 106,292,912 × 106,292,912
  4. Step 4: Simplify right side
    49,559,320x = 11,298,183,141,439,744
  5. Step 5: Solve for x
    x = 11,298,183,141,439,744/49,559,320
  6. Step 6: Final answer
    x = 227,972,925.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.