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Finding the Third Proportional to 133,016,368 and 285,835,616

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Solution

The third proportional to 133,016,368 and 285,835,616 is: 614,225,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,016,368 : 285,835,616 = 285,835,616 : x
  2. Step 2: Convert to fraction form
    133,016,368/285,835,616 = 285,835,616/x
  3. Step 3: Cross multiply
    133,016,368x = 285,835,616 × 285,835,616
  4. Step 4: Simplify right side
    133,016,368x = 81,701,999,374,099,456
  5. Step 5: Solve for x
    x = 81,701,999,374,099,456/133,016,368
  6. Step 6: Final answer
    x = 614,225,155.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.