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Finding the Third Proportional to 195,477,144 and 287,232,048

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Solution

The third proportional to 195,477,144 and 287,232,048 is: 422,055,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,477,144 : 287,232,048 = 287,232,048 : x
  2. Step 2: Convert to fraction form
    195,477,144/287,232,048 = 287,232,048/x
  3. Step 3: Cross multiply
    195,477,144x = 287,232,048 × 287,232,048
  4. Step 4: Simplify right side
    195,477,144x = 82,502,249,398,274,304
  5. Step 5: Solve for x
    x = 82,502,249,398,274,304/195,477,144
  6. Step 6: Final answer
    x = 422,055,733.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.