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Finding the Third Proportional to 233,637,928 and 363,200,304

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Solution

The third proportional to 233,637,928 and 363,200,304 is: 564,610,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,637,928 : 363,200,304 = 363,200,304 : x
  2. Step 2: Convert to fraction form
    233,637,928/363,200,304 = 363,200,304/x
  3. Step 3: Cross multiply
    233,637,928x = 363,200,304 × 363,200,304
  4. Step 4: Simplify right side
    233,637,928x = 131,914,460,825,692,416
  5. Step 5: Solve for x
    x = 131,914,460,825,692,416/233,637,928
  6. Step 6: Final answer
    x = 564,610,643.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.