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Finding the Third Proportional to 153,870,496 and 239,628,976

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Solution

The third proportional to 153,870,496 and 239,628,976 is: 373,184,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,870,496 : 239,628,976 = 239,628,976 : x
  2. Step 2: Convert to fraction form
    153,870,496/239,628,976 = 239,628,976/x
  3. Step 3: Cross multiply
    153,870,496x = 239,628,976 × 239,628,976
  4. Step 4: Simplify right side
    153,870,496x = 57,422,046,138,808,576
  5. Step 5: Solve for x
    x = 57,422,046,138,808,576/153,870,496
  6. Step 6: Final answer
    x = 373,184,253.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.