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Finding the Third Proportional to 233,518,961 and 328,473,565

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Solution

The third proportional to 233,518,961 and 328,473,565 is: 462,039,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,518,961 : 328,473,565 = 328,473,565 : x
  2. Step 2: Convert to fraction form
    233,518,961/328,473,565 = 328,473,565/x
  3. Step 3: Cross multiply
    233,518,961x = 328,473,565 × 328,473,565
  4. Step 4: Simplify right side
    233,518,961x = 107,894,882,903,809,232
  5. Step 5: Solve for x
    x = 107,894,882,903,809,232/233,518,961
  6. Step 6: Final answer
    x = 462,039,067.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.