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Finding the Third Proportional to 55,169,146 and 119,114,509

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Solution

The third proportional to 55,169,146 and 119,114,509 is: 257,177,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,169,146 : 119,114,509 = 119,114,509 : x
  2. Step 2: Convert to fraction form
    55,169,146/119,114,509 = 119,114,509/x
  3. Step 3: Cross multiply
    55,169,146x = 119,114,509 × 119,114,509
  4. Step 4: Simplify right side
    55,169,146x = 14,188,266,254,311,080
  5. Step 5: Solve for x
    x = 14,188,266,254,311,080/55,169,146
  6. Step 6: Final answer
    x = 257,177,558.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.