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Finding the Third Proportional to 59,039,258 and 128,114,024

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Solution

The third proportional to 59,039,258 and 128,114,024 is: 278,004,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,039,258 : 128,114,024 = 128,114,024 : x
  2. Step 2: Convert to fraction form
    59,039,258/128,114,024 = 128,114,024/x
  3. Step 3: Cross multiply
    59,039,258x = 128,114,024 × 128,114,024
  4. Step 4: Simplify right side
    59,039,258x = 16,413,203,145,472,576
  5. Step 5: Solve for x
    x = 16,413,203,145,472,576/59,039,258
  6. Step 6: Final answer
    x = 278,004,902.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.